,a ,,history ,,of ,,science ,,by ,,henry ,,smith ,,williams1 ,m4,d41 ,,ll4,d4 ,,assisted ,,by ,,edward ,h4 ,,williams1 ,m4,d4 ,,in ,,five ,,volumes ,,volume ,i4 ,,the ,,beginnings ,,of ,,science ,,book ,i4 ,,contents ,,chapter ,i4 ,,prehistoric ,,science ,,chapter ,,ii4 ,,egyptian ,,science ,,chapter ,,iii4 ,,science ,,of ,,babylonia ,,and ,,assyria ,,chapter ,,iv4 ,,the ,,development ,,of ,,the ,,alphabet ,,chapter ,v4 ,,the ,,beginnings ,,of ,,greek ,,science ,,chapter ,,vi4 ,,the ,,early ,,greek ,,philosophers ,,in ,,italy ,,chapter ,,vii4 ,,greek ,,science ,,in ,,the ,,early ,,attic ,,period ,,chapter ,,viii4 ,,post-,,socratic ,,science ,,at ,,athens ,,chapter ,,ix4 ,,greek ,,science ,,of ,,the ,,alexandrian ,,or ,,hellenistic ,,period ,,chapter ,x4 ,,science ,,of ,,the ,,roman ,,period ,,chapter ,,xi4 ,a ,,retrospective ,,glance ,,at ,,classical ,,science ,,appendix ,a ,,history ,,of ,,science ,,book ,i ,should the story that is about to be unfolded be found to lack interest1 the writers must stand convicted of unpardonable lack of art4 ,nothing but dulness in the telling could mar the story1 for in itself it is the record of the growth of those ideas that have made our race and its civilization what they are2 of ideas instinct with human interest1 vital with meaning for our race2 fundamental in their influence on human development2 part and parcel of the mechanism of human thought on the one hand1 and of practical civilization on the other4 ,such a phrase as fundamental principles may seem at first thought a hard saying1 but the idea it implies is less repellent than the phrase itself1 for the fundamental principles in question are so closely linked with the present interests of every one of us that they lie within the grasp of every average man and woman--nay1 of every well-developed boy and girl4 ,these principles are not merely the stepping-stones to culture1 the prerequisites of knowledge--they are1 in themselves1 an essential part of the knowledge of every cultivated person4 ,it is our task1 not merely to show what these principles are1 but to point out how they have been discovered by our predecessors4 ,we shall trace the growth of these ideas from their first vague beginnings4 ,we shall see how vagueness of thought gave way to precision2 how a general truth1 once grasped and formulated1 was found to be a stepping-stone to other truths4 ,we shall see that there are no isolated facts1 no isolated principles1 in nature2 that each part of our story is linked by indissoluble bands with that which goes before1 and with that which comes after4 ,for the most part the discovery of this principle or that in a given sequence is no accident4 ,galileo and ,keppler must precede ,newton4 ,cuvier and ,lyall must come before ,darwin2--,which1 after all1 is no more than saying that in our ,temple of ,science1 as in any other piece of architecture1 the foundation must precede the superstructure4 ,we shall best understand our story of the growth of science if we think of each new principle as a stepping-stone which must fit into its own particular niche2 and if we reflect that the entire structure of modern civilization would be different from what it is1 and less perfect than it is1 had not that particular stepping-stone been found and shaped and placed in position4 ,taken as a whole1 our stepping-stones lead us up and up towards the alluring heights of an acropolis of knowledge1 on which stands the ,temple of ,modern ,science4 ,the story of the building of this wonderful structure is in itself fascinating and beautiful4 ,i4 ,,prehistoric ,,science ,to speak of a prehistoric science may seem like a contradiction of terms4 ,the word prehistoric seems to imply barbarism1 while science1 clearly enough1 seems the outgrowth of civilization2 but rightly considered1 there is no contradiction4 ,for1 on the one hand1 man had ceased to be a barbarian long before the beginning of what we call the historical period2 and1 on the other hand1 science1 of a kind1 is no less a precursor and a cause of civilization than it is a consequent4 ,to get this clearly in mind1 we must ask ourselves3 ,what1 then1 is science8 ,the word runs glibly enough upon the tongue of our every-day speech1 but it is not often1 perhaps1 that they who use it habitually ask themselves just what it means4 ,yet the answer is not difficult4 ,a little attention will show that science1 as the word is commonly used1 implies these things3 first1 the gathering of knowledge through observation2 second1 the classification of such knowledge1 and through this classification1 the elaboration of general ideas or principles4 ,in the familiar definition of ,herbert ,spencer1 science is organized knowledge4 ,now it is patent enough1 at first glance1 that the veriest savage must have been an observer of the phenomena of nature4 ,but it may not be so obvious that he must also have been a classifier of his observations--an organizer of knowledge4 ,yet the more we consider the case1 the more clear it will become that the two methods are too closely linked together to be dissevered4 ,to observe outside phenomena is not more inherent in the nature of the mind than to draw inferences from these phenomena4 ,a deer passing through the forest scents the ground and detects a certain odor4 ,a sequence of ideas is generated in the mind of the deer4 ,nothing in the deer's experience can produce that odor but a wolf2 therefore the scientific inference is drawn that wolves have passed that way4 ,but it is a part of the deer's scientific knowledge1 based on previous experience1 individual and racial2 that wolves are dangerous beasts1 and so1 combining direct observation in the present with the application of a general principle based on past experience1 the deer reaches the very logical conclusion that it may wisely turn about and run in another direction4 ,all this implies1 essentially1 a comprehension and use of scientific principles2 and1 strange as it seems to speak of a deer as possessing scientific knowledge1 yet there is really no absurdity in the statement4 ,the deer does possess scientific knowledge2 knowledge differing in degree only1 not in kind1 from the knowledge of a ,newton4 ,nor is the animal1 within the range of its intelligence1 less logical1 less scientific in the application of that knowledge1 than is the man4 ,the animal that could not make accurate scientific observations of its surroundings1 and deduce accurate scientific conclusions from them1 would soon pay the penalty of its lack of logic4 ,what is true of man's precursors in the animal scale is1 of course1 true in a wider and fuller sense of man himself at the very lowest stage of his development4 ,ages before the time which the limitations of our knowledge force us to speak of as the dawn of history1 man had reached a high stage of development4 ,as a social being1 he had developed all the elements of a primitive civilization4 ,if1 for convenience of classification1 we speak of his state as savage1 or barbaric1 we use terms which1 after all1 are relative1 and which do not shut off our primitive ancestors from a tolerably close association with our own ideals4 ,we know that1 even in the ,stone ,age1 man had learned how to domesticate animals and make them useful to him1 and that he had also learned to cultivate the soil4 ,later on1 doubtless by slow and painful stages1 he attained those wonderful elements of knowledge that enabled him to smelt metals and to produce implements of bronze1 and then of iron4 ,even in the ,stone ,age he was a mechanic of marvellous skill1 as any one of to-day may satisfy himself by attempting to duplicate such an implement as a chipped arrow-head4 ,and a barbarian who could fashion an axe or a knife of bronze had certainly gone far in his knowledge of scientific principles and their practical application4 ,the practical application was1 doubtless1 the only thought that our primitive ancestor had in mind2 quite probably the question as to principles that might be involved troubled him not at all4 ,yet1 in spite of himself1 he knew certain rudimentary principles of science1 even though he did not formulate them4 ,let us inquire what some of these principles are4 ,such an inquiry will1 as it were1 clear the ground for our structure of science4 ,it will show the plane of knowledge on which historical investigation begins4 ,incidentally1 perhaps1 it will reveal to us unsuspected affinities between ourselves and our remote ancestor4 ,without attempting anything like a full analysis1 we may note in passing1 not merely what primitive man knew1 but what he did not know2 that at least a vague notion may be gained of the field for scientific research that lay open for historic man to cultivate4 ,it must be understood that the knowledge of primitive man1 as we are about to outline it1 is inferential4 ,we cannot trace the development of these principles1 much less can we say who discovered them4 ,some of them1 as already suggested1 are man's heritage from non-human ancestors4 ,others can only have been grasped by him after he had reached a relatively high stage of human development4 ,but all the principles here listed must surely have been parts of our primitive ancestor's knowledge before those earliest days of ,egyptian and ,babylonian civilization1 the records of which constitute our first introduction to the so-called historical period4 ,taken somewhat in the order of their probable discovery1 the scientific ideas of primitive man may be roughly listed as follows3 #a4 ,primitive man must have conceived that the earth is flat and of limitless extent4 ,by this it is not meant to imply that he had a distinct conception of infinity1 but1 for that matter1 it cannot be said that any one to-day has a conception of infinity that could be called definite4 ,but1 reasoning from experience and the reports of travellers1 there was nothing to suggest to early man the limit of the earth4 ,he did1 indeed1 find in his wanderings1 that changed climatic conditions barred him from farther progress2 but beyond the farthest reaches of his migrations1 the seemingly flat land-surfaces and water-surfaces stretched away unbroken and1 to all appearances1 without end4 ,it would require a reach of the philosophical imagination to conceive a limit to the earth1 and while such imaginings may have been current in the prehistoric period1 we can have no proof of them1 and we may well postpone consideration of man's early dreamings as to the shape of the earth until we enter the historical epoch where we stand on firm ground4 #b4 ,primitive man must1 from a very early period1 have observed that the sun gives heat and light1 and that the moon and stars seem to give light only and no heat4 ,it required but a slight extension of this observation to note that the changing phases of the seasons were associated with the seeming approach and recession of the sun4 ,this observation1 however1 could not have been made until man had migrated from the tropical regions1 and had reached a stage of mechanical development enabling him to live in subtropical or temperate zones4 ,even then it is conceivable that a long period must have elapsed before a direct causal relation was felt to exist between the shifting of the sun and the shifting of the seasons2 because1 as every one knows1 the periods of greatest heat in summer and greatest cold in winter usually come some weeks after the time of the solstices4 ,yet1 the fact that these extremes of temperature are associated in some way with the change of the sun's place in the heavens must1 in time1 have impressed itself upon even a rudimentary intelligence4 ,it is hardly necessary to add that this is not meant to imply any definite knowledge of the real meaning of1 the seeming oscillations of the sun4 ,we shall see that1 even at a relatively late period1 the vaguest notions were still in vogue as to the cause of the sun's changes of position4 ,that the sun1 moon1 and stars move across the heavens must obviously have been among the earliest scientific observations4 ,it must not be inferred1 however1 that this observation implied a necessary conception of the complete revolution of these bodies about the earth4 ,it is unnecessary to speculate here as to how the primitive intelligence conceived the transfer of the sun from the western to the eastern horizon1 to be effected each night1 for we shall have occasion to examine some historical speculations regarding this phenomenon4 ,we may assume1 however1 that the idea of the transfer of the heavenly bodies beneath the earth 7whatever the conception as to the form of that body7 must early have presented itself4 ,it required a relatively high development of the observing faculties1 yet a development which man must have attained ages before the historical period1 to note that the moon has a secondary motion1 which leads it to shift its relative position in the heavens1 as regards the stars2 that the stars themselves1 on the other hand1 keep a fixed relation as regards one another1 with the notable exception of two or three of the most brilliant members of the galaxy1 the latter being the bodies which came to be known finally as planets1 or wandering stars4 ,the wandering propensities of such brilliant bodies as ,jupiter and ,venus cannot well have escaped detection4 ,we may safely assume1 however1 that these anomalous motions of the moon and planets found no explanation that could be called scientific until a relatively late period4 #c4 ,turning from the heavens to the earth1 and ignoring such primitive observations as that of the distinction between land and water1 we may note that there was one great scientific law which must have forced itself upon the attention of primitive man4 ,this is the law of universal terrestrial gravitation4 ,the word gravitation suggests the name of ,newton1 and it may excite surprise to hear a knowledge of gravitation ascribed to men who preceded that philosopher by1 say1 twenty-five or fifty thousand years4 ,yet the slightest consideration of the facts will make it clear that the great central law that all heavy bodies fall directly towards the earth1 cannot have escaped the attention of the most primitive intelligence4 ,the arboreal habits of our primitive ancestors gave opportunities for constant observation of the practicalities of this law4 ,and1 so soon as man had developed the mental capacity to formulate ideas1 one of the earliest ideas must have been the conception1 however vaguely phrased in words1 that all unsupported bodies fall towards the earth4 ,the same phenomenon being observed to operate on water-surfaces1 and no alteration being observed in its operation in different portions of man's habitat1 the most primitive wanderer must have come to have full faith in the universal action of the observed law of gravitation4 ,indeed1 it is inconceivable that he can have imagined a place on the earth where this law does not operate4 ,on the other hand1 of course1 he never grasped the conception of the operation of this law beyond the close proximity of the earth4 ,to extend the reach of gravitation out to the moon and to the stars1 including within its compass every particle of matter in the universe1 was the work of ,newton1 as we shall see in due course4 ,meantime we shall better understand that work if we recall that the mere local fact of terrestrial gravitation has been the familiar knowledge of all generations of men4 ,it may further help to connect us in sympathy with our primeval ancestor if we recall that in the attempt to explain this fact of terrestrial gravitation ,newton made no advance1 and we of to-day are scarcely more enlightened than the man of the ,stone ,age4 ,like the man of the ,stone ,age1 we know that an arrow shot into the sky falls back to the earth4 ,we can calculate1 as he could not do1 the arc it will describe and the exact speed of its fall2 but as to why it returns to earth at all1 the greatest philosopher of to-day is almost as much in the dark as was the first primitive bowman that ever made the experiment4 ,other physical facts going to make up an elementary science of mechanics1 that were demonstratively known to prehistoric man1 were such as these3 the rigidity of solids and the mobility of liquids2 the fact that changes of temperature transform solids to liquids and vice versa--that heat1 for example1 melts copper and even iron1 and that cold congeals water2 and the fact that friction1 as illustrated in the rubbing together of two sticks1 may produce heat enough to cause a fire4 ,the rationale of this last experiment did not receive an explanation until about the beginning of the nineteenth century of our own era4 ,but the experimental fact was so well known to prehistoric man that he employed this method1 as various savage tribes employ it to this day1 for the altogether practical purpose of making a fire2 just as he employed his practical knowledge of the mutability of solids and liquids in smelting ores1 in alloying copper with tin to make bronze1 and in casting this alloy in molds to make various implements and weapons4 ,here1 then1 were the germs of an elementary science of physics4 ,meanwhile such observations as that of the solution of salt in water may be considered as giving a first lesson in chemistry1 but beyond such altogether rudimentary conceptions chemical knowledge could not have gone--unless1 indeed1 the practical observation of the effects of fire be included2 nor can this well be overlooked1 since scarcely another single line of practical observation had a more direct influence in promoting the progress of man towards the heights of civilization4 #d4 ,in the field of what we now speak of as biological knowledge1 primitive man had obviously the widest opportunity for practical observation4 ,we can hardly doubt that man attained1 at an early day1 to that conception of identity and of difference which ,plato places at the head of his metaphysical system4 ,we shall urge presently that it is precisely such general ideas as these that were man's earliest inductions from observation1 and hence that came to seem the most universal and innate ideas of his mentality4 ,it is quite inconceivable1 for example1 that even the most rudimentary intelligence that could be called human could fail to discriminate between living things and1 let us say1 the rocks of the earth4 ,the most primitive intelligence1 then1 must have made a tacit classification of the natural objects about it into the grand divisions of animate and inanimate nature4 ,doubtless the nascent scientist may have imagined life animating many bodies that we should call inanimate--such as the sun1 wandering planets1 the winds1 and lightning2 and1 on the other hand1 he may quite likely have relegated such objects as trees to the ranks of the non-living2 but that he recognized a fundamental distinction between1 let us say1 a wolf and a granite bowlder we cannot well doubt4 ,a step beyond this--a step1 however1 that may have required centuries or millenniums in the taking--must have carried man to a plane of intelligence from which a primitive ,aristotle or ,linnaeus was enabled to note differences and resemblances connoting such groups of things as fishes1 birds1 and furry beasts4 ,this conception1 to be sure1 is an abstraction of a relatively high order4 ,we know that there are savage races to-day whose language contains no word for such an abstraction as bird or tree4 ,we are bound to believe1 then1 that there were long ages of human progress during which the highest man had attained no such stage of abstraction2 but1 on the other hand1 it is equally little in question that this degree of mental development had been attained long before the opening of our historical period4 ,the primeval man1 then1 whose scientific knowledge we are attempting to predicate1 had become1 through his conception of fishes1 birds1 and hairy animals as separate classes1 a scientific zoologist of relatively high attainments4 ,in the practical field of medical knowledge1 a certain stage of development must have been reached at a very early day4 ,even animals pick and choose among the vegetables about them1 and at times seek out certain herbs quite different from their ordinary food1 practising a sort of instinctive therapeutics4 ,the cat's fondness for catnip is a case in point4 ,the most primitive man1 then1 must have inherited a racial or instinctive knowledge of the medicinal effects of certain herbs2 in particular he must have had such elementary knowledge of toxicology as would enable him to avoid eating certain poisonous berries4 ,perhaps1 indeed1 we are placing the effect before the cause to some extent2 for1 after all1 the animal system possesses marvellous powers of adaption1 and there is perhaps hardly any poisonous vegetable which man might not have learned to eat without deleterious effect1 provided the experiment were made gradually4 ,to a certain extent1 then1 the observed poisonous effects of numerous plants upon the human system are to be explained by the fact that our ancestors have avoided this particular vegetable4 ,certain fruits and berries might have come to have been a part of man's diet1 had they grown in the regions he inhabited at an early day1 which now are poisonous to his system4 ,this thought1 however1 carries us too far afield4 ,for practical purposes1 it suffices that certain roots1 leaves1 and fruits possess principles that are poisonous to the human system1 and that unless man had learned in some way to avoid these1 our race must have come to disaster4 ,in point of fact1 he did learn to avoid them2 and such evidence implied1 as has been said1 an elementary knowledge of toxicology4 ,coupled with this knowledge of things dangerous to the human system1 there must have grown up1 at a very early day1 a belief in the remedial character of various vegetables as agents to combat disease4 ,here1 of course1 was a rudimentary therapeutics1 a crude principle of an empirical art of medicine4 ,as just suggested1 the lower order of animals have an instinctive knowledge that enables them to seek out remedial herbs 7though we probably exaggerate the extent of this instinctive knowledge72 and if this be true1 man must have inherited from his prehuman ancestors this instinct along with the others4 ,that he extended this knowledge through observation and practice1 and came early to make extensive use of drugs in the treatment of disease1 is placed beyond cavil through the observation of the various existing barbaric tribes1 nearly all of whom practice elaborate systems of therapeutics4 ,we shall have occasion to see that even within historic times the particular therapeutic measures employed were often crude1 and1 as we are accustomed to say1 unscientific2 but even the crudest of them are really based upon scientific principles1 inasmuch as their application implies the deduction of principles of action from previous observations4 ,certain drugs are applied to appease certain symptoms of disease because in the belief of the medicine-man such drugs have proved beneficial in previous similar cases4 ,all this1 however1 implies an appreciation of the fact that man is subject to natural diseases1 and that if these diseases are not combated1 death may result4 ,but it should be understood that the earliest man probably had no such conception as this4 ,throughout all the ages of early development1 what we call natural disease and natural death meant the onslaught of a tangible enemy4 ,a study of this question leads us to some very curious inferences4 ,the more we look into the matter the more the thought forces itself home to us that the idea of natural death1 as we now conceive it1 came to primitive man as a relatively late scientific induction4 ,this thought seems almost startling1 so axiomatic has the conception man is mortal come to appear4 ,yet a study of the ideas of existing savages1 combined with our knowledge of the point of view from which historical peoples regard disease1 make it more probable that the primitive conception of human life did not include the idea of necessary death4 ,we are told that the ,australian savage who falls from a tree and breaks his neck is not regarded as having met a natural death1 but as having been the victim of the magical practices of the medicine-man of some neighboring tribe4 ,similarly1 we shall find that the ,egyptian and the ,babylonian of the early historical period conceived illness as being almost invariably the result of the machinations of an enemy4 ,one need but recall the superstitious observances of the ,middle ,ages1 and the yet more recent belief in witchcraft1 to realize how generally disease has been personified as a malicious agent invoked by an unfriendly mind4 ,indeed1 the phraseology of our present-day speech is still reminiscent of this2 as when1 for example1 we speak of an attack of fever1 and the like4 ,when1 following out this idea1 we picture to ourselves the conditions under which primitive man lived1 it will be evident at once how relatively infrequent must have been his observation of what we usually term natural death4 ,his world was a world of strife2 he lived by the chase2 he saw animals kill one another2 he witnessed the death of his own fellows at the hands of enemies4 ,naturally enough1 then1 when a member of his family was struck down by invisible agents1 he ascribed this death also to violence1 even though the offensive agent was concealed4 ,moreover1 having very little idea of the lapse of time--being quite unaccustomed1 that is1 to reckon events from any fixed era--primitive man cannot have gained at once a clear conception of age as applied to his fellows4 ,until a relatively late stage of development made tribal life possible1 it cannot have been usual for man to have knowledge of his grandparents2 as a rule he did not know his own parents after he had passed the adolescent stage and had been turned out upon the world to care for himself4 ,if1 then1 certain of his fellow-beings showed those evidences of infirmity which we ascribe to age1 it did not necessarily follow that he saw any association between such infirmities and the length of time which those persons had lived4 ,the very fact that some barbaric nations retain the custom of killing the aged and infirm1 in itself suggests the possibility that this custom arose before a clear conception had been attained that such drags upon the community would be removed presently in the natural order of things4 ,to a person who had no clear conception of the lapse of time and no preconception as to the limited period of man's life1 the infirmities of age might very naturally be ascribed to the repeated attacks of those inimical powers which were understood sooner or later to carry off most members of the race4 ,and coupled with this thought would go the conception that inasmuch as some people through luck had escaped the vengeance of all their enemies for long periods1 these same individuals might continue to escape for indefinite periods of the future4 ,there were no written records to tell primeval man of events of long ago4 ,he lived in the present1 and his sweep of ideas scarcely carried him back beyond the limits of his individual memory4 ,but memory is observed to be fallacious4 ,it must early have been noted that some people recalled events which other participants in them had quite forgotten1 and it may readily enough have been inferred that those members of the tribe who spoke of events which others could not recall were merely the ones who were gifted with the best memories4 ,if these reached a period when their memories became vague1 it did not follow that their recollections had carried them back to the beginnings of their lives4 ,indeed1 it is contrary to all experience to believe that any man remembers all the things he has once known1 and the observed fallaciousness and evanescence of memory would thus tend to substantiate rather than to controvert the idea that various members of a tribe had been alive for an indefinite period4 ,without further elaborating the argument1 it seems a justifiable inference that the first conception primitive man would have of his own life would not include the thought of natural death1 but would1 conversely1 connote the vague conception of endless life4 ,our own ancestors1 a few generations removed1 had not got rid of this conception1 as the perpetual quest of the spring of eternal youth amply testifies4 ,a naturalist of our own day has suggested that perhaps birds never die except by violence4 ,the thought1 then1 that man has a term of years beyond which in the nature of things1 as the saying goes1 he may not live1 would have dawned but gradually upon the developing intelligence of successive generations of men2 and we cannot feel sure that he would fully have grasped the conception of a natural termination of human life until he had shaken himself free from the idea that disease is always the result of the magic practice of an enemy4 ,our observation of historical man in antiquity makes it somewhat doubtful whether this conception had been attained before the close of the prehistoric period4 ,if it had1 this conception of the mortality of man was one of the most striking scientific inductions to which prehistoric man attained4 ,incidentally1 it may be noted that the conception of eternal life for the human body being a more primitive idea than the conception of natural death1 the idea of the immortality of the spirit would be the most natural of conceptions4 ,the immortal spirit1 indeed1 would be but a correlative of the immortal body1 and the idea which we shall see prevalent among the ,egyptians that the soul persists only as long as the body is intact--the idea upon which the practice of mummifying the dead depended--finds a ready explanation4 ,but this phase of the subject carries us somewhat afield4 ,for our present purpose it suffices to have pointed out that the conception of man's mortality--a conception which now seems of all others the most natural and innate--was in all probability a relatively late scientific induction of our primitive ancestors4 #e4 ,turning from the consideration of the body to its mental complement1 we are forced to admit that here1 also1 our primitive man must have made certain elementary observations that underlie such sciences as psychology1 mathematics1 and political economy4 ,the elementary emotions associated with hunger and with satiety1 with love and with hatred1 must have forced themselves upon the earliest intelligence that reached the plane of conscious self-observation4 ,the capacity to count1 at least to the number four or five1 is within the range of even animal intelligence4 ,certain savages have gone scarcely farther than this2 but our primeval ancestor1 who was forging on towards civilization1 had learned to count his fingers and toes1 and to number objects about him by fives and tens in consequence1 before he passed beyond the plane of numerous existing barbarians4 ,how much beyond this he had gone we need not attempt to inquire2 but the relatively high development of mathematics in the early historical period suggests that primeval man had attained a not inconsiderable knowledge of numbers4 ,the humdrum vocation of looking after a numerous progeny must have taught the mother the rudiments of addition and subtraction2 and the elements of multiplication and division are implied in the capacity to carry on even the rudest form of barter1 such as the various tribes must have practised from an early day4 ,as to political ideas1 even the crudest tribal life was based on certain conceptions of ownership1 at least of tribal ownership1 and the application of the principle of likeness and difference to which we have already referred4 ,each tribe1 of course1 differed in some regard from other tribes1 and the recognition of these differences implied in itself a political classification4 ,a certain tribe took possession of a particular hunting-ground1 which became1 for the time being1 its home1 and over which it came to exercise certain rights4 ,an invasion of this territory by another tribe might lead to war1 and the banding together of the members of the tribe to repel the invader implied both a recognition of communal unity and a species of prejudice in favor of that community that constituted a primitive patriotism4 ,but this unity of action in opposing another tribe would not prevent a certain rivalry of interest between the members of the same tribe1 which would show itself more and more prominently as the tribe increased in size4 ,the association of two or more persons implies1 always1 the ascendency of some and the subordination of others4 ,leadership and subordination are necessary correlatives of difference of physical and mental endowment1 and rivalry between leaders would inevitably lead to the formation of primitive political parties4 ,with the ultimate success and ascendency of one leader1 who secures either absolute power or power modified in accordance with the advice of subordinate leaders1 we have the germs of an elaborate political system--an embryo science of government4 ,meanwhile1 the very existence of such a community implies the recognition on the part of its members of certain individual rights1 the recognition of which is essential to communal harmony4 ,the right of individual ownership of the various articles and implements of every-day life must be recognized1 or all harmony would be at an end4 ,certain rules of justice--primitive laws--must1 by common consent1 give protection to the weakest members of the community4 ,here are the rudiments of a system of ethics4 ,it may seem anomalous to speak of this primitive morality1 this early recognition of the principles of right and wrong1 as having any relation to science4 ,yet1 rightly considered1 there is no incongruity in such a citation4 ,there cannot well be a doubt that the adoption of those broad principles of right and wrong which underlie the entire structure of modern civilization was due to scientific induction1--in other words1 to the belief1 based on observation and experience1 that the principles implied were essential to communal progress4 ,he who has scanned the pageant of history knows how often these principles seem to be absent in the intercourse of men and nations4 ,yet the ideal is always there as a standard by which all deeds are judged4 ,it would appear1 then1 that the entire superstructure of later science had its foundation in the knowledge and practice of prehistoric man4 ,the civilization of the historical period could not have advanced as it has had there not been countless generations of culture back of it4 ,the new principles of science could not have been evolved had there not been great basal principles which ages of unconscious experiment had impressed upon the mind of our race4 ,due meed of praise must be given1 then1 to our primitive ancestor for his scientific accomplishments2 but justice demands that we should look a little farther and consider the reverse side of the picture4 ,we have had to do1 thus far1 chiefly with the positive side of accomplishment4 ,we have pointed out what our primitive ancestor knew1 intimating1 perhaps1 the limitations of his knowledge2 but we have had little to say of one all-important feature of his scientific theorizing4 ,the feature in question is based on the highly scientific desire and propensity to find explanations for the phenomena of nature4 ,without such desire no progress could be made4 ,it is1 as we have seen1 the generalizing from experience that constitutes real scientific progress2 and yet1 just as most other good things can be overdone1 this scientific propensity may be carried to a disastrous excess4 ,primeval man did not escape this danger4 ,he observed1 he reasoned1 he found explanations2 but he did not always discriminate as to the logicality of his reasonings4 ,he failed to recognize the limitations of his knowledge4 ,the observed uniformity in the sequence of certain events impressed on his mind the idea of cause and effect4 ,proximate causes known1 he sought remoter causes2 childlike1 his inquiring mind was always asking1 ,why8 and1 childlike1 he demanded an explicit answer4 ,if the forces of nature seemed to combat him1 if wind and rain opposed his progress and thunder and lightning seemed to menace his existence1 he was led irrevocably to think of those human foes who warred with him1 and to see1 back of the warfare of the elements1 an inscrutable malevolent intelligence which took this method to express its displeasure4 ,but every other line of scientific observation leads equally1 following back a sequence of events1 to seemingly causeless beginnings4 ,modern science can explain the lightning1 as it can explain a great number of the mysteries which the primeval intelligence could not penetrate4 ,but the primordial man could not wait for the revelations of scientific investigation3 he must vault at once to a final solution of all scientific problems4 ,he found his solution by peopling the world with invisible forces1 anthropomorphic in their conception1 like himself in their thought and action1 differing only in the limitations of their powers4 ,his own dream existence gave him seeming proof of the existence of an alter ego1 a spiritual portion of himself that could dissever itself from his body and wander at will2 his scientific inductions seemed to tell him of a world of invisible beings1 capable of influencing him for good or ill4 ,from the scientific exercise of his faculties he evolved the all-encompassing generalizations of invisible and all-powerful causes back of the phenomena of nature4 ,these generalizations1 early developed and seemingly supported by the observations of countless generations1 came to be among the most firmly established scientific inductions of our primeval ancestor4 ,they obtained a hold upon the mentality of our race that led subsequent generations to think of them1 sometimes to speak of them1 as innate ideas4 ,the observations upon which they were based are now1 for the most part1 susceptible of other interpretations2 but the old interpretations have precedent and prejudice back of them1 and they represent ideas that are more difficult than almost any others to eradicate4 ,always1 and everywhere1 superstitions based upon unwarranted early scientific deductions have been the most implacable foes to the progress of science4 ,men have built systems of philosophy around their conception of anthropomorphic deities2 they have linked to these systems of philosophy the allied conception of the immutability of man's spirit1 and they have asked that scientific progress should stop short at the brink of these systems of philosophy and accept their dictates as final4 ,yet there is not to-day in existence1 and there never has been1 one jot of scientific evidence for the existence of these intangible anthropomorphic powers back of nature that is not susceptible of scientific challenge and of more logical interpretation4 ,in despite of which the superstitious beliefs are still as firmly fixed in the minds of a large majority of our race as they were in the mind of our prehistoric ancestor4 ,the fact of this baleful heritage must not be forgotten in estimating the debt of gratitude which historic man owes to his barbaric predecessor4 ,,ii4 ,,egyptian ,,science ,in the previous chapter we have purposely refrained from referring to any particular tribe or race of historical man4 ,now1 however1 we are at the beginnings of national existence1 and we have to consider the accomplishments of an individual race2 or rather1 perhaps1 of two or more races that occupied successively the same geographical territory4 ,but even now our studies must for a time remain very general2 we shall see little or nothing of the deeds of individual scientists in the course of our study of ,egyptian culture4 ,we are still1 it must be understood1 at the beginnings of history2 indeed1 we must first bridge over the gap from the prehistoric before we may find ourselves fairly on the line of march of historical science4 ,at the very outset we may well ask what constitutes the distinction between prehistoric and historic epochs--a distinction which has been constantly implied in much that we have said4 ,the reply savors somewhat of vagueness4 ,it is a distinction having to do1 not so much with facts of human progress as with our interpretation of these facts4 ,when we speak of the dawn of history we must not be understood to imply that1 at the period in question1 there was any sudden change in the intellectual status of the human race or in the status of any individual tribe or nation of men4 ,what we mean is that modern knowledge has penetrated the mists of the past for the period we term historical with something more of clearness and precision than it has been able to bring to bear upon yet earlier periods4 ,new accessions of knowledge may thus shift from time to time the bounds of the so-called historical period4 ,the clearest illustration of this is furnished by our interpretation of ,egyptian history4 ,until recently the biblical records of the ,hebrew captivity or service1 together with the similar account of ,josephus1 furnished about all that was known of ,egyptian history even of so comparatively recent a time as that of ,ramses ,,ii4 7fifteenth century ,b4,c471 and from that period on there was almost a complete gap until the story was taken up by the ,greek historians ,herodotus and ,diodorus4 ,it is true that the king-lists of the ,alexandrian historian1 ,manetho1 were all along accessible in somewhat garbled copies4 ,but at best they seemed to supply unintelligible lists of names and dates which no one was disposed to take seriously4 ,that they were1 broadly speaking1 true historical records1 and most important historical records at that1 was not recognized by modern scholars until fresh light had been thrown on the subject from altogether new sources4 ,these new sources of knowledge of ancient history demand a moment's consideration4 ,they are all-important because they have been the means of extending the historical period of ,egyptian history 7using the word history in the way just explained7 by three or four thousand years4 ,as just suggested1 that historical period carried the scholarship of the early nineteenth century scarcely beyond the fifteenth century ,b4,c41 but to-day's vision extends with tolerable clearness to about the middle of the fifth millennium ,b4,c4 ,this change has been brought about chiefly through study of the ,egyptian hieroglyphics4 ,these hieroglyphics constitute1 as we now know1 a highly developed system of writing2 a system that was practised for some thousands of years1 but which fell utterly into disuse in the later ,roman period1 and the knowledge of which passed absolutely from the mind of man4 ,for about two thousand years no one was able to read1 with any degree of explicitness1 a single character of this strange script1 and the idea became prevalent that it did not constitute a real system of writing1 but only a more or less barbaric system of religious symbolism4 ,the falsity of this view was shown early in the nineteenth century when ,dr4 ,thomas ,young was led1 through study of the famous trilingual inscription of the ,rosetta stone1 to make the first successful attempt at clearing up the mysteries of the hieroglyphics4 ,this is not the place to tell the story of his fascinating discoveries and those of his successors4 ,that story belongs to nineteenth-century science1 not to the science of the ,egyptians4 ,suffice it here that ,young gained the first clew to a few of the phonetic values of the ,egyptian symbols1 and that the work of discovery was carried on and vastly extended by the ,frenchman ,champollion1 a little later1 with the result that the firm foundations of the modern science of ,egyptology were laid4 ,subsequently such students as ,rosellini the ,italian1 ,lepsius the ,german1 and ,wilkinson the ,englishman1 entered the field1 which in due course was cultivated by ,de ,rouge in ,france and ,birch in ,england1 and by such distinguished latter-day workers as ,chabas1 ,mariette1 ,maspero1 ,amelineau1 and ,de ,morgan among the ,frenchmen2 ,professor ,petrie and ,dr4 ,budge in ,england2 and ,brugsch ,pasha and ,professor ,erman in ,germany1 not to mention a large coterie of somewhat less familiar names4 ,these men working1 some of them in the field of practical exploration1 some as students of the ,egyptian language and writing1 have restored to us a tolerably precise knowledge of the history of ,egypt from the time of the first historical king1 ,mena1 whose date is placed at about the middle of the fifth century ,b4,c4 ,we know not merely the names of most of the subsequent rulers1 but some thing of the deeds of many of them2 and1 what is vastly more important1 we know1 thanks to the modern interpretation of the old literature1 many things concerning the life of the people1 and in particular concerning their highest culture1 their methods of thought1 and their scientific attainments1 which might well have been supposed to be past finding out4 ,nor has modern investigation halted with the time of the first kings2 the recent explorations of such archaeologists as ,amelineau1 ,de ,morgan1 and ,petrie have brought to light numerous remains of what is now spoken of as the predynastic period--a period when the inhabitants of the ,nile ,valley used implements of chipped stone1 when their pottery was made without the use of the potter's wheel1 and when they buried their dead in curiously cramped attitudes without attempt at mummification4 ,these aboriginal inhabitants of ,egypt cannot perhaps with strict propriety be spoken of as living within the historical period1 since we cannot date their relics with any accuracy4 ,but they give us glimpses of the early stages of civilization upon which the ,egyptians of the dynastic period were to advance4 ,it is held that the nascent civilization of these ,egyptians of the ,neolithic1 or late ,stone ,age1 was overthrown by the invading hosts of a more highly civilized race which probably came from the ,east1 and which may have been of a ,semitic stock4 ,the presumption is that this invading people brought with it a knowledge of the arts of war and peace1 developed or adopted in its old home4 ,the introduction of these arts served to bridge somewhat suddenly1 so far as ,egypt is concerned1 that gap between the prehistoric and the historic stage of culture to which we have all along referred4 ,the essential structure of that bridge1 let it now be clearly understood1 consisted of a single element4 ,that element is the capacity to make written records3 a knowledge of the art of writing4 ,clearly understood1 it is this element of knowledge that forms the line bounding the historical period4 ,numberless mementos are in existence that tell of the intellectual activities of prehistoric man2 such mementos as flint implements1 pieces of pottery1 and fragments of bone1 inscribed with pictures that may fairly be spoken of as works of art2 but so long as no written word accompanies these records1 so long as no name of king or scribe comes down to us1 we feel that these records belong to the domain of archaeology rather than to that of history4 ,yet it must be understood all along that these two domains shade one into the other and1 it has already been urged1 that the distinction between them is one that pertains rather to modern scholarship than to the development of civilization itself4 ,bearing this distinction still in mind1 and recalling that the historical period1 which is to be the field of our observation throughout the rest of our studies1 extends for ,egypt well back into the fifth millennium ,b4,c41 let us briefly review the practical phases of that civilization to which the ,egyptian had attained before the beginning of the dynastic period4 ,since theoretical science is everywhere linked with the mechanical arts1 this survey will give us a clear comprehension of the field that lies open for the progress of science in the long stages of historical time upon which we are just entering4 ,we may pass over such rudimentary advances in the direction of civilization as are implied in the use of articulate language1 the application of fire to the uses of man1 and the systematic making of dwellings of one sort or another1 since all of these are stages of progress that were reached very early in the prehistoric period4 ,what more directly concerns us is to note that a really high stage of mechanical development had been reached before the dawnings of ,egyptian history proper4 ,all manner of household utensils were employed2 the potter's wheel aided in the construction of a great variety of earthen vessels2 weaving had become a fine art1 and weapons of bronze1 including axes1 spears1 knives1 and arrow-heads1 were in constant use4 ,animals had long been domesticated1 in particular the dog1 the cat1 and the ox2 the horse was introduced later from the ,east4 ,the practical arts of agriculture were practised almost as they are at the present day in ,egypt1 there being1 of course1 the same dependence then as now upon the inundations of the ,nile4 ,as to government1 the ,egyptian of the first dynasty regarded his king as a demi-god to be actually deified after his death1 and this point of view was not changed throughout the stages of later ,egyptian history4 ,in point of art1 marvellous advances upon the skill of the prehistoric man had been made1 probably in part under ,asiatic influences1 and that unique style of stilted yet expressive drawing had come into vogue1 which was to be remembered in after times as typically ,egyptian4 ,more important than all else1 our ,egyptian of the earliest historical period was in possession of the art of writing4 ,he had begun to make those specific records which were impossible to the man of the ,stone ,age1 and thus he had entered fully upon the way of historical progress which1 as already pointed out1 has its very foundation in written records4 ,from now on the deeds of individual kings could find specific record4 ,it began to be possible to fix the chronology of remote events with some accuracy2 and with this same fixing of chronologies came the advent of true history4 ,the period which precedes what is usually spoken of as the first dynasty in ,egypt is one into which the present-day searcher is still able to see but darkly4 ,the evidence seems to suggest than an invasion of relatively cultured people from the ,east overthrew1 and in time supplanted1 the ,neolithic civilization of the ,nile ,valley4 ,it is impossible to date this invasion accurately1 but it cannot well have been later than the year #ejjj ,b4,c41 and it may have been a great many centuries earlier than this4 ,be the exact dates what they may1 we find the ,egyptian of the fifth millennium ,b4,c4 in full possession of a highly organized civilization4 ,all subsequent ages have marvelled at the pyramids1 some of which date from about the year #djjj ,b4,c41 though we may note in passing that these dates must not be taken too literally4 ,the chronology of ancient ,egypt cannot as yet be fixed with exact accuracy1 but the disagreements between the various students of the subject need give us little concern4 ,for our present purpose it does not in the least matter whether the pyramids were built three thousand or four thousand years before the beginning of our era4 ,it suffices that they date back to a period long antecedent to the beginnings of civilization in ,western ,europe4 ,they prove that the ,egyptian of that early day had attained a knowledge of practical mechanics which1 even from the twentieth-century point of view1 is not to be spoken of lightly4 ,it has sometimes been suggested that these mighty pyramids1 built as they are of great blocks of stone1 speak for an almost miraculous knowledge on the part of their builders2 but a saner view of the conditions gives no warrant for this thought4 ,diodoras1 the ,sicilian1 in his famous ,world's ,history1 written about the beginning of our era1 explains the building of the pyramids by suggesting that great quantities of earth were piled against the side of the rising structure to form an inclined plane up which the blocks of stone were dragged4 ,he gives us certain figures1 based1 doubtless1 on reports made to him by ,egyptian priests1 who in turn drew upon the traditions of their country1 perhaps even upon written records no longer preserved4 ,he says that one hundred and twenty thousand men were employed in the construction of the largest pyramid1 and that1 notwithstanding the size of this host of workers1 the task occupied twenty years4 ,we must not place too much dependence upon such figures as these1 for the ancient historians are notoriously given to exaggeration in recording numbers2 yet we need not doubt that the report given by ,diodorus is substantially accurate in its main outlines as to the method through which the pyramids were constructed4 ,a host of men putting their added weight and strength to the task1 with the aid of ropes1 pulleys1 rollers1 and levers1 and utilizing the principle of the inclined plane1 could undoubtedly move and elevate and place in position the largest blocks that enter into the pyramids or--what seems even more wonderful--the most gigantic obelisks1 without the aid of any other kind of mechanism or of any more occult power4 ,the same hands could1 as ,diodorus suggests1 remove all trace of the debris of construction and leave the pyramids and obelisks standing in weird isolation1 as if sprung into being through a miracle4 ,,astronomical ,,science ,it has been necessary to bear in mind these phases of practical civilization because much that we know of the purely scientific attainments of the ,egyptians is based upon modern observation of their pyramids and temples4 ,it was early observed1 for example1 that the pyramids are obviously oriented as regards the direction in which they face1 in strict accordance with some astronomical principle4 ,early in the nineteenth century the ,frenchman ,biot made interesting studies in regard to this subject1 and a hundred years later1 in our own time1 ,sir ,joseph ,norman ,lockyer1 following up the work of various intermediary observers1 has given the subject much attention1 making it the central theme of his work on ,the ,dawn of ,astronomy47#a7 ,lockyer's researches make it clear that in the main the temples of ,egypt were oriented with reference to the point at which the sun rises on the day of the summer solstice4 ,the time of the solstice had peculiar interest for the ,egyptians1 because it corresponded rather closely with the time of the rising of the ,nile4 ,the floods of that river appear with very great regularity2 the on-rushing tide reaches the region of ,heliopolis and ,memphis almost precisely on the day of the summer solstice4 ,the time varies at different stages of the river's course1 but as the civilization of the early dynasties centred at ,memphis1 observations made at this place had widest vogue4 ,considering the all-essential character of the ,nile floods-without which civilization would be impossible in ,egypt--it is not strange that the time of their appearance should be taken as marking the beginning of a new year4 ,the fact that their coming coincides with the solstice makes such a division of the calendar perfectly natural4 ,in point of fact1 from the earliest periods of which records have come down to us1 the new year of the ,egyptians dates from the summer solstice4 ,it is certain that from the earliest historical periods the ,egyptians were aware of the approximate length of the year4 ,it would be strange were it otherwise1 considering the ease with which a record of days could be kept from ,nile flood to ,nile flood1 or from solstice to solstice4 ,but this1 of course1 applies only to an approximate count4 ,there is some reason to believe that in the earliest period the ,egyptians made this count only #cfj days4 ,the fact that their year was divided into twelve months of thirty days each lends color to this belief2 but1 in any event1 the mistake was discovered in due time and a partial remedy was applied through the interpolation of a little month of five days between the end of the twelfth month and the new year4 ,this nearly but not quite remedied the matter4 ,what it obviously failed to do was to take account of that additional quarter of a day which really rounds out the actual year4 ,it would have been a vastly convenient thing for humanity had it chanced that the earth had so accommodated its rotary motion with its speed of transit about the sun as to make its annual flight in precisely #cfj days4 ,twelve lunar months of thirty days each would then have coincided exactly with the solar year1 and most of the complexities of the calendar1 which have so puzzled historical students1 would have been avoided2 but1 on the other hand1 perhaps this very simplicity would have proved detrimental to astronomical science by preventing men from searching the heavens as carefully as they have done4 ,be that as it may1 the complexity exists4 ,the actual year of three hundred and sixty-five and 7about7 one-quarter days cannot be divided evenly into months1 and some such expedient as the intercalation of days here and there is essential1 else the calendar will become absolutely out of harmony with the seasons4 ,in the case of the ,egyptians1 the attempt at adjustment was made1 as just noted1 by the introduction of the five days1 constituting what the ,egyptians themselves termed the five days over and above the year4 ,these so-called epagomenal days were undoubtedly introduced at a very early period4 ,maspero holds that they were in use before the first ,thinite dynasty1 citing in evidence the fact that the legend of ,osiris explains these days as having been created by the god ,thot in order to permit ,nuit to give birth to all her children2 this expedient being necessary to overcome a ban which had been pronounced against ,nuit1 according to which she could not give birth to children on any day of the year4 ,but1 of course1 the five additional days do not suffice fully to rectify the calendar4 ,there remains the additional quarter of a day to be accounted for4 ,this1 of course1 amounts to a full day every fourth year4 ,we shall see that later ,alexandrian science hit upon the expedient of adding a day to every fourth year2 an expedient which the ,julian calendar adopted and which still gives us our familiar leap-year4 ,but1 unfortunately1 the ancient ,egyptian failed to recognize the need of this additional day1 or if he did recognize it he failed to act on his knowledge1 and so it happened that1 starting somewhere back in the remote past with a new year's day that coincided with the inundation of the ,nile1 there was a constantly shifting maladjustment of calendar and seasons as time went on4 ,the ,egyptian seasons1 it should be explained1 were three in number3 the season of the inundation1 the season of the seed-time1 and the season of the harvest2 each season being1 of course1 four months in extent4 ,originally1 as just mentioned1 the season of the inundations began and coincided with the actual time of inundation4 ,the more precise fixing of new year's day was accomplished through observation of the time of the so-called heliacal rising of the dog-star1 ,sirius1 which bore the ,egyptian name ,sothis4 ,it chances that1 as viewed from about the region of ,heliopolis1 the sun at the time of the summer solstice occupies an apparent position in the heavens close to the dog-star4 ,now1 as is well known1 the ,egyptians1 seeing divinity back of almost every phenomenon of nature1 very naturally paid particular reverence to so obviously influential a personage as the sun-god4 ,in particular they thought it fitting to do homage to him just as he was starting out on his tour of ,egypt in the morning2 and that they might know the precise moment of his coming1 the ,egyptian astronomer priests1 perched on the hill-tops near their temples1 were wont to scan the eastern horizon with reference to some star which had been observed to precede the solar luminary4 ,of course the precession of the equinoxes1 due to that axial wobble in which our clumsy earth indulges1 would change the apparent position of the fixed stars in reference to the sun1 so that the same star could not do service as heliacal messenger indefinitely2 but1 on the other hand1 these changes are so slow that observations by many generations of astronomers would be required to detect the shifting4 ,it is believed by ,lockyer1 though the evidence is not quite demonstrative1 that the astronomical observations of the ,egyptians date back to a period when ,sothis1 the dog-star1 was not in close association with the sun on the morning of the summer solstice4 ,yet1 according to the calculations of ,biot1 the heliacal rising of ,sothis at the solstice was noted as early as the year #cbhe ,b4,c41 and it is certain that this star continued throughout subsequent centuries to keep this position of peculiar prestige4 ,hence it was that ,sothis came to be associated with ,isis1 one of the most important divinities of ,egypt1 and that the day in which ,sothis was first visible in the morning sky marked the beginning of the new year2 that day coinciding1 as already noted1 with the summer solstice and with the beginning of the ,nile flow4 ,but now for the difficulties introduced by that unreckoned quarter of a day4 ,obviously with a calendar of #cfe days only1 at the end of four years1 the calendar year1 or vague year1 as the ,egyptians came to call it1 had gained by one full day upon the actual solar year--that is to say1 the heliacal rising of ,sothis1 the dog-star1 would not occur on new year's day of the faulty calendar1 but a day later4 ,and with each succeeding period of four years the day of heliacal rising1 which marked the true beginning of the year--and which still1 of course1 coincided with the inundation--would have fallen another day behind the calendar4 ,in the course of #abj years an entire month would be lost2 and in #dhj years so great would become the shifting that the seasons would be altogether misplaced2 the actual time of inundations corresponding with what the calendar registered as the seed-time1 and the actual seed-time in turn corresponding with the harvest-time of the calendar4 ,at first thought this seems very awkward and confusing1 but in all probability the effects were by no means so much so in actual practice4 ,we need go no farther than to our own experience to know that the names of seasons1 as of months and days1 come to have in the minds of most of us a purely conventional significance4 ,few of us stop to give a thought to the meaning of the words ,january1 ,february1 etc41 except as they connote certain climatic conditions4 ,if1 then1 our own calendar were so defective that in the course of #abj years the month of ,february had shifted back to occupy the position of the original ,january1 the change would have been so gradual1 covering the period of two life-times or of four or five average generations1 that it might well escape general observation4 ,each succeeding generation of ,egyptians1 then1 may not improbably have associated the names of the seasons with the contemporary climatic conditions1 troubling themselves little with the thought that in an earlier age the climatic conditions for each period of the calendar were quite different4 ,we cannot well suppose1 however1 that the astronomer priests were oblivious to the true state of things4 ,upon them devolved the duty of predicting the time of the ,nile flood2 a duty they were enabled to perform without difficulty through observation of the rising of the solstitial sun and its ,sothic messenger4 ,to these observers it must finally have been apparent that the shifting of the seasons was at the rate of one day in four years2 this known1 it required no great mathematical skill to compute that this shifting would finally effect a complete circuit of the calendar1 so that after 7#d ,x #cfe 7 #adfj years the first day of the calendar year would again coincide with the heliacal rising of ,sothis and with the coming of the ,nile flood4 ,in other words1 #adfa vague years or ,egyptian calendar years ,of #cfe days each correspond to #adfj actual solar years of #cfe #a_/d days each4 ,this period1 measured thus by the heliacal rising of ,sothis1 is spoken of as the ,sothic cycle4 ,to us who are trained from childhood to understand that the year consists of 7approximately7 #cfe #a_/d days1 and to know that the calendar may be regulated approximately by the introduction of an extra day every fourth year1 this recognition of the ,sothic cycle seems simple enough4 ,yet if the average man of us will reflect how little he knows1 of his own knowledge1 of the exact length of the year1 it will soon become evident that the appreciation of the faults of the calendar and the knowledge of its periodical adjustment constituted a relatively high development of scientific knowledge on the part of the ,egyptian astronomer4 ,it may be added that various efforts to reform the calendar were made by the ancient ,egyptians1 but that they cannot be credited with a satisfactory solution of the problem2 for1 of course1 the ,alexandrian scientists of the ,ptolemaic period 7whose work we shall have occasion to review presently7 were not ,egyptians in any proper sense of the word1 but ,greeks4 ,since so much of the time of the astronomer priests was devoted to observation of the heavenly bodies1 it is not surprising that they should have mapped out the apparent course of the moon and the visible planets in their nightly tour of the heavens1 and that they should have divided the stars of the firmament into more or less arbitrary groups or constellations4 ,that they did so is evidenced by various sculptured representations of constellations corresponding to signs of the zodiac which still ornament the ceilings of various ancient temples4 ,unfortunately the decorative sense1 which was always predominant with the ,egyptian sculptor1 led him to take various liberties with the distribution of figures in these representations of the constellations1 so that the inferences drawn from them as to the exact map of the heavens as the ,egyptians conceived it cannot be fully relied upon4 ,it appears1 however1 that the ,egyptian astronomer divided the zodiac into twenty-four decani1 or constellations4 ,the arbitrary groupings of figures1 with the aid of which these are delineated1 bear a close resemblance to the equally arbitrary outlines which we are still accustomed to use for the same purpose4 ,,ideas ,,of ,,cosmology ,in viewing this astronomical system of the ,egyptians one cannot avoid the question as to just what interpretation was placed upon it as regards the actual mechanical structure of the universe4 ,a proximal answer to the question is supplied us with a good deal of clearness4 ,it appears that the ,egyptian conceived the sky as a sort of tangible or material roof placed above the world1 and supported at each of its four corners by a column or pillar1 which was later on conceived as a great mountain4 ,the earth itself was conceived to be a rectangular box1 longer from north to south than from east to west2 the upper surface of this box1 upon which man lived1 being slightly concave and having1 of course1 the valley of the ,nile as its centre4 ,the pillars of support were situated at the points of the compass2 the northern one being located beyond the ,mediterranean ,sea2 the southern one away beyond the habitable regions towards the source of the ,nile1 and the eastern and western ones in equally inaccessible regions4 ,circling about the southern side of the world was a great river suspended in mid-air on something comparable to mountain cliffs2 on which river the sun-god made his daily course in a boat1 fighting day by day his ever-recurring battle against ,set1 the demon of darkness4 ,the wide channel of this river enabled the sun-god to alter his course from time to time1 as he is observed to do2 in winter directing his bark towards the farther bank of the channel2 in summer gliding close to the nearer bank4 ,as to the stars1 they were similar lights1 suspended from the vault of the heaven2 but just how their observed motion of translation across the heavens was explained is not apparent4 ,it is more than probable that no one explanation was1 universally accepted4 ,in explaining the origin of this mechanism of the heavens1 the ,egyptian imagination ran riot4 ,each separate part of ,egypt had its own hierarchy of gods1 and more or less its own explanations of cosmogony4 ,there does not appear to have been any one central story of creation that found universal acceptance1 any more than there was one specific deity everywhere recognized as supreme among the gods4 ,perhaps the most interesting of the cosmogonic myths was that which conceived that ,nuit1 the goddess of night1 had been torn from the arms of her husband1 ,sibu the earth-god1 and elevated to the sky despite her protests and her husband's struggles1 there to remain supported by her four limbs1 which became metamorphosed into the pillars1 or mountains1 already mentioned4 ,the forcible elevation of ,nuit had been effected on the day of creation by a new god1 ,shu1 who came forth from the primeval waters4 ,a painting on the mummy case of one ,betuhamon1 now in the ,turin ,museum1 illustrates1 in the graphic manner so characteristic of the ,egyptians1 this act of creation4 ,as ,maspero7#b7 points out1 the struggle of ,sibu resulted in contorted attitudes to which the irregularities of the earth's surface are to be ascribed4 ,in contemplating such a scheme of celestial mechanics as that just outlined1 one cannot avoid raising the question as to just the degree of literalness which the ,egyptians themselves put upon it4 ,we know how essentially eye-minded the ,egyptian was1 to use a modern psychological phrase--that is to say1 how essential to him it seemed that all his conceptions should be visualized4 ,the evidences of this are everywhere3 all his gods were made tangible2 he believed in the immortality of the soul1 yet he could not conceive of such immortality except in association with an immortal body2 he must mummify the body of the dead1 else1 as he firmly believed1 the dissolution of the spirit would take place along with the dissolution of the body itself4 ,his world was peopled everywhere with spirits1 but they were spirits associated always with corporeal bodies2 his gods found lodgment in sun and moon and stars2 in earth and water2 in the bodies of reptiles and birds and mammals4 ,he worshipped all of these things3 the sun1 the moon1 water1 earth1 the spirit of the ,nile1 the ibis1 the cat1 the ram1 and apis the bull2 but1 so far as we can judge1 his imagination did not reach to the idea of an absolutely incorporeal deity4 ,similarly his conception of the mechanism of the heavens must be a tangibly mechanical one4 ,he must think of the starry firmament as a substantial entity which could not defy the law of gravitation1 and which1 therefore1 must have the same manner of support as is required by the roof of a house or temple4 ,we know that this idea of the materiality of the firmament found elaborate expression in those later cosmological guesses which were to dominate the thought of ,europe until the time of ,newton4 ,we need not doubt1 therefore1 that for the ,egyptian this solid vault of the heavens had a very real existence4 ,if now and then some dreamer conceived the great bodies of the firmament as floating in a less material plenum--and such iconoclastic dreamers there are in all ages--no record of his musings has come down to us1 and we must freely admit that if such thoughts existed they were alien to the character of the ,egyptian mind as a whole4 ,while the ,egyptians conceived the heavenly bodies as the abiding-place of various of their deities1 it does not appear that they practised astrology in the later acceptance of that word4 ,this is the more remarkable since the conception of lucky and unlucky days was carried by the ,egyptians to the extremes of absurdity4 ,one day was lucky or unlucky1 says ,erman17#c7 according as a good or bad mythological incident took place on that day4 ,for instance1 the #ast of ,mechir1 on which day the sky was raised1 and the #bgth of ,athyr1 when ,horus and1 ,set concluded peace together and divided the world between them1 were lucky days2 on the other hand1 the #adth of ,tybi1 on which ,isis and ,nephthys mourned for ,osiris1 was an unlucky day4 ,with the unlucky days1 which1 fortunately1 were less in number than the lucky days1 they distinguished different degrees of ill-luck4 ,some were very unlucky1 others only threatened ill-luck1 and many1 like the #agth and the #bgth ,choiakh1 were partly good and partly bad according to the time of day4 ,lucky days might1 as a rule1 be disregarded4 ,at most it might be as well to visit some specially renowned temple1 or to 'celebrate a joyful day at home1' but no particular precautions were really necessary2 and1 above all1 it was said1 'what thou also seest on the day is lucky4' ,it was quite otherwise with the unlucky and dangerous days1 which imposed so many and such great limitations on people that those who wished to be prudent were always obliged to bear them in mind when determining on any course of action4 ,certain conditions were easy to carry out4 ,music and singing were to be avoided on the #adth ,tybi1 the day of the mourning of ,osiris1 and no one was allowed to wash on the #afth ,tybi2 whilst the name of ,set might not be pronounced on the #bdth of ,pharmuthi4 ,fish was forbidden on certain days2 and what was still more difficult in a country so rich in mice1 on the #abth of ,tybi no mouse might be seen4 ,the most tiresome prohibitions1 however1 were those which occurred not infrequently1 namely1 those concerning work and going out3 for instance1 four times in ,paophi the people had to 'do nothing at all1' and five times to sit the whole day or half the day in the house2 and the same rule had to be observed each month4 ,it was impossible to rejoice if a child was born on the #bc;d of ,thoth2 the parents knew it could not live4 ,those born on the #bjth of ,choiakh would become blind1 and those born on the #c;d of ,choiakh1 deaf4 ,,charms ,,and ,,incantations ,where such conceptions as these pertained1 it goes without saying that charms and incantations intended to break the spell of the unlucky omens were equally prevalent4 ,such incantations consisted usually of the recitation of certain phrases based originally1 it would appear1 upon incidents in the history of the gods4 ,the words which the god had spoken in connection with some lucky incident would1 it was thought1 prove effective now in bringing good luck to the human supplicant--that is to say1 the magician hoped through repeating the words of the god to exercise the magic power of the god4 ,it was even possible1 with the aid of the magical observances1 partly to balk fate itself4 ,thus the person predestined through birth on an unlucky day to die of a serpent bite might postpone the time of this fateful visitation to extreme old age4 ,the like uncertainty attached to those spells which one person was supposed to be able to exercise over another4 ,it was held1 for example1 that if something belonging to an individual1 such as a lock of hair or a paring of the nails1 could be secured and incorporated in a waxen figure1 this figure would be intimately associated with the personality of that individual4 ,an enemy might thus secure occult power over one2 any indignity practised upon the waxen figure would result in like injury to its human prototype4 ,if the figure were bruised or beaten1 some accident would overtake its double2 if the image were placed over a fire1 the human being would fall into a fever1 and so on4 ,but1 of course1 such mysterious evils as these would be met and combated by equally mysterious processes2 and so it was that the entire art of medicine was closely linked with magical practices4 ,it was not1 indeed1 held1 according to ,maspero1 that the magical spells of enemies were the sole sources of human ailments1 but one could never be sure to what extent such spells entered into the affliction2 and so closely were the human activities associated in the mind of the ,egyptian with one form or another of occult influences that purely physical conditions were at a discount4 ,in the later times1 at any rate1 the physician was usually a priest1 and there was a close association between the material and spiritual phases of therapeutics4 ,erman7#d7 tells us that the following formula had to be recited at the preparation of all medicaments3 ,that ,isis might make free1 make free4 ,that ,isis might make ,horus free from all evil that his brother ,set had done to him when he slew his father1 ,osiris4 ,o ,isis1 great enchantress1 free me1 release me from all evil red things1 from the fever of the god1 and the fever of the goddess1 from death and death from pain1 and the pain which comes over me2 as thou hast freed1 as thou hast released thy son ,horus1 whilst ,i enter into the fire and come forth from the water1 etc4 ,again1 when the invalid took the medicine1 an incantation had to be said which began thus3 ,come remedy1 come drive it out of my heart1 out of these limbs strong in magic power with the remedy4 ,he adds3 ,there may have been a few rationalists amongst the ,egyptian doctors1 for the number of magic formulae varies much in the different books4 ,the book that we have specially taken for a foundation for this account of ,egyptian medicine--the great papyrus of the eighteenth dynasty edited by ,ebers7#e7--;contains1 for instance1 far fewer exorcisms than some later writings with similar contents1 probably because the doctor who compiled this book of recipes from older sources had very little liking for magic4 ,it must be understood1 however--indeed1 what has just been said implies as much--that the physician by no means relied upon incantations alone2 on the contrary1 he equipped himself with an astonishing variety of medicaments4 ,he had a particular fondness for what the modern physician speaks of as a shot-gun prescription--one containing a great variety of ingredients4 ,not only did herbs of many kinds enter into this1 but such substances as lizard's blood1 the teeth of swine1 putrid meat1 the moisture from pigs' ears1 boiled horn1 and numerous other even more repellent ingredients4 ,whoever is familiar with the formulae employed by ,european physicians even so recently as the eighteenth century will note a striking similarity here4 ,erman points out that the modern ,egyptian even of this day holds closely to many of the practices of his remote ancestor4 ,in particular1 the efficacy of the beetle as a medicinal agent has stood the test of ages of practice4 ,against all kinds of witchcraft1 says an ancient formula1 a great scarabaeus beetle2 cut off his head and wings1 boil him2 put him in oil and lay him out2 then cook his head and wings1 put them in snake fat1 boil1 and let the patient drink the mixture4 ,the modern ,egyptian1 says ,erman1 uses almost precisely the same recipe1 except that the snake fat is replaced by modern oil4 ,in evidence of the importance which was attached to practical medicine in the ,egypt of an early day1 the names of several physicians have come down to us from an age which has preserved very few names indeed1 save those of kings4 ,in reference to this ,erman says7#f73 ,we still know the names of some of the early body physicians of this time2 ,sechmetna'eonch1 'chief physician of the ,pharaoh1' and ,nesmenan his chief1 the 'superintendent of the physicians of the ,pharaoh4' ,the priests also of the lioness-headed goddess ,sechmet seem to have been famed for their medical wisdom1 whilst the son of this goddess1 the demi-god ,imhotep1 was in later times considered to be the creator of medical knowledge4 ,these ancient doctors of the ,new ,empire do not seem to have improved upon the older conceptions about the construction of the human body4 ,as to the actual scientific attainments of the ,egyptian physician1 it is difficult to speak with precision4 ,despite the cumbersome formulae and the grotesque incantations1 we need not doubt that a certain practical value attended his therapeutics4 ,he practised almost pure empiricism1 however1 and certainly it must have been almost impossible to determine which ones1 if any1 of the numerous ingredients of the prescription had real efficacy4 ,the practical anatomical knowledge of the physician1 there is every reason to believe1 was extremely limited4 ,at first thought it might seem that the practice of embalming would have led to the custom of dissecting human bodies1 and that the ,egyptians1 as a result of this1 would have excelled in the knowledge of anatomy4 ,but the actual results were rather the reverse of this4 ,embalming the dead1 it must be recalled1 was a purely religious observance4 ,it took place under the superintendence of the priests1 but so great was the reverence for the human body that the priests themselves were not permitted to make the abdominal incision which was a necessary preliminary of the process4 ,this incision1 as we are informed by both ,herodotus7#g7 and ,diodorus7#h71 was made by a special officer1 whose status1 if we may believe the explicit statement of ,diodorus1 was quite comparable to that of the modern hangman4 ,the paraschistas1 as he was called1 having performed his necessary but obnoxious function1 with the aid of a sharp ,ethiopian stone1 retired hastily1 leaving the remaining processes to the priests4 ,these1 however1 confined their observations to the abdominal viscera2 under no consideration did they make other incisions in the body4 ,it follows1 therefore1 that their opportunity for anatomical observations was most limited4 ,since even the necessary mutilation inflicted on the corpse was regarded with such horror1 it follows that anything in the way of dissection for a less sacred purpose was absolutely prohibited4 ,probably the same prohibition extended to a large number of animals1 since most of these were held sacred in one part of ,egypt or another4 ,moreover1 there is nothing in what we know of the ,egyptian mind to suggest the probability that any ,egyptian physician would make extensive anatomical observations for the love of pure knowledge4 ,all ,egyptian science is eminently practical4 ,if we think of the ,egyptian as mysterious1 it is because of the superstitious observances that we everywhere associate with his daily acts2 but these1 as we have already tried to make clear1 were really based on scientific observations of a kind1 and the attempt at true inferences from these observations4 ,but whether or not the ,egyptian physician desired anatomical knowledge1 the results of his inquiries were certainly most meagre4 ,the essentials of his system had to do with a series of vessels1 alleged to be twenty-two or twenty-four in number1 which penetrated the head and were distributed in pairs to the various members of the body1 and which were vaguely thought of as carriers of water1 air1 excretory fluids1 etc4 ,yet back of this vagueness1 as must not be overlooked1 there was an all-essential recognition of the heart as the central vascular organ4 ,the heart is called the beginning of all the members4 ,its vessels1 we are told1 lead to all the members2 whether the doctor lays his finger on the forehead1 on the back of the head1 on the hands1 on the place of the stomach 7871 on the arms1 or on the feet1 everywhere he meets with the heart1 because its vessels lead to all the members47#i7 ,this recognition of the pulse must be credited to the ,egyptian physician as a piece of practical knowledge1 in some measure off-setting the vagueness of his anatomical theories4 ,,abstract ,,science ,but1 indeed1 practical knowledge was1 as has been said over and over1 the essential characteristic of ,egyptian science4 ,yet another illustration of this is furnished us if we turn to the more abstract departments of thought and inquire what were the ,egyptian attempts in such a field as mathematics4 ,the answer does not tend greatly to increase our admiration for the ,egyptian mind4 ,we are led to see1 indeed1 that the ,egyptian merchant was able to perform all the computations necessary to his craft1 but we are forced to conclude that the knowledge of numbers scarcely extended beyond this1 and that even here the methods of reckoning were tedious and cumbersome4 ,our knowledge of the subject rests largely upon the so-called papyrus ,rhind17#aj7 which is a sort of mythological hand-book of the ancient ,egyptians4 ,analyzing this document1 ,professor ,erman concludes that the knowledge of the ,egyptians was adequate to all practical requirements4 ,their mathematics taught them how in the exchange of bread for beer the respective value was to be determined when converted into a quantity of corn2 how to reckon the size of a field2 how to determine how a given quantity of corn would go into a granary of a certain size1 and like every-day problems4 ,yet they were obliged to make some of their simple computations in a very roundabout way4 ,it would appear1 for example1 that their mental arithmetic did not enable them to multiply by a number larger than two1 and that they did not reach a clear conception of complex fractional numbers4 ,they did1 indeed1 recognize that each part of an object divided into #aj pieces became #a_/aj of that object2 they even grasped the idea of #b_/c this being a conception easily visualized2 but they apparently did not visualize such a conception as #c_/aj except in the crude form of #a_/aj plus #a_/aj plus #a_/aj4 ,their entire idea of division seems defective4 ,they viewed the subject from the more elementary stand-point of multiplication4 ,thus1 in order to find out how many times #g is contained in #gg1 an existing example shows that the numbers representing #a times #g1 #b times #g1 #d times #g1 #h times #g were set down successively and various experimental additions made to find out which sets of these numbers aggregated #gg4 --#a #g --#b #ad --#d #bh --#h #ef ,a line before the first1 second1 and fourth of these numbers indicated that it is necessary to multiply #g by #a plus #b plus #h--that is1 by #aa1 in order to obtain #gg2 that is to say1 #g goes #aa times in #gg4 ,all this seems very cumbersome indeed1 yet we must not overlook the fact that the process which goes on in our own minds in performing such a problem as this is precisely similar1 except that we have learned to slur over certain of the intermediate steps with the aid of a memorized multiplication table4 ,in the last analysis1 division is only the obverse side of multiplication1 and any one who has not learned his multiplication table is reduced to some such expedient as that of the ,egyptian4 ,indeed1 whenever we pass beyond the range of our memorized multiplication table-which for most of us ends with the twelves--the experimental character of the trial multiplication through which division is finally effected does not so greatly differ from the experimental efforts which the ,egyptian was obliged to apply to smaller numbers4 ,despite his defective comprehension of fractions1 the ,egyptian was able to work out problems of relative complexity2 for example1 he could determine the answer of such a problem as this3 a number together with its fifth part makes #ba2 what is the number8 ,the process by which the ,egyptian solved this problem seems very cumbersome to any one for whom a rudimentary knowledge of algebra makes it simple1 yet the method which we employ differs only in that we are enabled1 thanks to our hypothetical x1 to make a short cut1 and the essential fact must not be overlooked that the ,egyptian reached a correct solution of the problem4 ,with all due desire to give credit1 however1 the fact remains that the ,egyptian was but a crude mathematician4 ,here1 as elsewhere1 it is impossible to admire him for any high development of theoretical science4 ,first1 last1 and all the time1 he was practical1 and there is nothing to show that the thought of science for its own sake1 for the mere love of knowing1 ever entered his head4 ,in general1 then1 we must admit that the ,egyptian had not progressed far in the hard way of abstract thinking4 ,he worshipped everything about him because he feared the result of failing to do so4 ,he embalmed the dead lest the spirit of the neglected one might come to torment him4 ,eye-minded as he was1 he came to have an artistic sense1 to love decorative effects4 ,but he let these always take precedence over his sense of truth2 as1 for example1 when he modified his lists of kings at ,abydos to fit the space which the architect had left to be filled2 he had no historical sense to show to him that truth should take precedence over mere decoration4 ,and everywhere he lived in the same happy-go-lucky way4 ,he loved personal ease1 the pleasures of the table1 the luxuries of life1 games1 recreations1 festivals4 ,he took no heed for the morrow1 except as the morrow might minister to his personal needs4 ,essentially a sensual being1 he scarcely conceived the meaning of the intellectual life in the modern sense of the term4 ,he had perforce learned some things about astronomy1 because these were necessary to his worship of the gods2 about practical medicine1 because this ministered to his material needs2 about practical arithmetic1 because this aided him in every-day affairs4 ,the bare rudiments of an historical science may be said to be crudely outlined in his defective lists of kings4 ,but beyond this he did not go4 ,science as science1 and for its own sake1 was unknown to him4 ,he had gods for all material functions1 and festivals in honor of every god2 but there was no goddess of mere wisdom in his pantheon4 ,the conception of ,minerva was reserved for the creative genius of another people4 ,,iii4 ,,science ,,of ,,babylonia ,,and ,,assyria ,throughout classical antiquity ,egyptian science was famous4 ,we know that ,plato spent some years in ,egypt in the hope of penetrating the alleged mysteries of its fabled learning2 and the story of the ,egyptian priest who patronizingly assured ,solon that the ,greeks were but babes was quoted everywhere without disapproval4 ,even so late as the time of ,augustus1 we find ,diodorus1 the ,sicilian1 looking back with veneration upon the ,oriental learning1 to which ,pliny also refers with unbounded respect4 ,from what we have seen of ,egyptian science1 all this furnishes us with a somewhat striking commentary upon the attainments of the ,greeks and ,romans themselves4 ,to refer at length to this would be to anticipate our purpose2 what now concerns us is to recall that all along there was another nation1 or group of nations1 that disputed the palm for scientific attainments4 ,this group of nations found a home in the valley of the ,tigris and ,euphrates4 ,their land was named ,mesopotamia by the ,greeks1 because a large part of it lay between the two rivers just mentioned4 ,the peoples themselves are familiar to every one as the ,babylonians and the ,assyrians4 ,these peoples were of ,semitic stock--allied1 therefore1 to the ancient ,hebrews and ,phoenicians and of the same racial stem with the ,arameans and ,arabs4 ,the great capital of the ,babylonians during the later period of their history was the famed city of ,babylon itself2 the most famous capital of the ,assyrians was ,nineveh1 that city to which1 as every ,bible-student will recall1 the prophet ,jonah was journeying when he had a much-exploited experience1 the record of which forms no part of scientific annals4 ,it was the kings of ,assyria1 issuing from their palaces in ,nineveh1 who dominated the civilization of ,western ,asia during the heyday of ,hebrew history1 and whose deeds are so frequently mentioned in the ,hebrew chronicles4 ,later on1 in the year #fjf ,b4,c41 ,nineveh was overthrown by the ,medes7#a7 and ,babylonians4 ,the famous city was completely destroyed1 never to be rebuilt4 ,babylon1 however1 though conquered subsequently by ,cyrus and held in subjection by ,darius17#b7 the ,persian kings1 continued to hold sway as a great world-capital for some centuries4 ,the last great historical event that occurred within its walls was the death of ,alexander the ,great1 which took place there in the year #cbb ,b4,c4 ,in the time of ,herodotus the fame of ,babylon was at its height1 and the father of history has left us a most entertaining account of what he saw when he visited the wonderful capital4 ,unfortunately1 ,herodotus was not a scholar in the proper acceptance of the term4 ,he probably had no inkling of the ,babylonian language1 so the voluminous records of its literature were entirely shut off from his observation4 ,he therefore enlightens us but little regarding the science of the ,babylonians1 though his observations on their practical civilization give us incidental references of no small importance4 ,somewhat more detailed references to the scientific attainments of the ,babylonians are found in the fragments that have come down to us of the writings of the great ,babylonian historian1 ,berosus17#c7 who was born in ,babylon about #ccj ,b4,c41 and who was1 therefore1 a contemporary of ,alexander the ,great4 ,but the writings of ,berosus also1 or at least such parts of them as have come down to us1 leave very much to be desired in point of explicitness4 ,they give some glimpses of ,babylonian history1 and they detail at some length the strange mythical tales of creation that entered into the ,babylonian conception of cosmogony--details which find their counterpart in the allied recitals of the ,hebrews4 ,but taken all in all1 the glimpses of the actual state of ,chaldean7#d7 learning1 as it was commonly called1 amounted to scarcely more than vague wonder-tales4 ,no one really knew just what interpretation to put upon these tales until the explorers of the nineteenth century had excavated the ruins of the ,babylonian and ,assyrian cities1 bringing to light the relics of their wonderful civilization4 ,but these relics fortunately included vast numbers of written documents1 inscribed on tablets1 prisms1 and cylinders of terra-cotta4 ,when nineteenth-century scholarship had penetrated the mysteries of the strange script1 and ferreted out the secrets of an unknown tongue1 the world at last was in possession of authentic records by which the traditions regarding the ,babylonians and ,assyrians could be tested4 ,thanks to these materials1 a new science commonly spoken of as ,assyriology came into being1 and a most important chapter of human history was brought to light4 ,it became apparent that the ,greek ideas concerning ,mesopotamia1 though vague in the extreme1 were founded on fact4 ,no one any longer questions that the ,mesopotamian civilization was fully on a par with that of ,egypt2 indeed1 it is rather held that superiority lay with the ,asiatics4 ,certainly1 in point of purely scientific attainments1 the ,babylonians passed somewhat beyond their ,egyptian competitors4 ,all the evidence seems to suggest also that the ,babylonian civilization was even more ancient than that of ,egypt4 ,the precise dates are here in dispute2 nor for our present purpose need they greatly concern us4 ,but the ,assyrio-,babylonian records have much greater historical accuracy as regards matters of chronology than have the ,egyptian1 and it is believed that our knowledge of the early ,babylonian history is carried back1 with some certainty1 to ,king ,sargon of ,agade17#e7 for whom the date #chjj ,b4,c4 is generally accepted2 while somewhat vaguer records give us glimpses of periods as remote as the sixth1 perhaps even the seventh or eighth millenniums before our era4 ,at a very early period ,babylon itself was not a capital and ,nineveh had not come into existence4 ,the important cities1 such as ,nippur and ,shirpurla1 were situated farther to the south4 ,it is on the site of these cities that the recent excavations have been made1 such as those of the ,university of ,pennsylvania expeditions at ,nippur17#f7 which are giving us glimpses into remoter recesses of the historical period4 ,even if we disregard the more problematical early dates1 we are still concerned with the records of a civilization extending unbroken throughout a period of about four thousand years2 the actual period is in all probability twice or thrice that4 ,naturally enough1 the current of history is not an unbroken stream throughout this long epoch4 ,it appears that at least two utterly different ethnic elements are involved4 ,a preponderance of evidence seems to show that the earliest civilized inhabitants of ,mesopotamia were not ,semitic1 but an alien race1 which is now commonly spoken of as ,sumerian4 ,this people1 of whom we catch glimpses chiefly through the records of its successors1 appears to have been subjugated or overthrown by ,semitic invaders1 who1 coming perhaps from ,arabia 7their origin is in dispute71 took possession of the region of the ,tigris and ,euphrates1 learned from the ,sumerians many of the useful arts1 and1 partly perhaps because of their mixed lineage1 were enabled to develop the most wonderful civilization of antiquity4 ,could we analyze the details of this civilization from its earliest to its latest period we should of course find the same changes which always attend racial progress and decay4 ,we should then be able1 no doubt1 to speak of certain golden epochs and their periods of decline4 ,to a certain meagre extent we are able to do this now4 ,we know1 for example1 that ,king ,khammurabi1 who lived about #bbjj ,b4,c41 was a great law-giver1 the ancient prototype of ,justinian2 and the epochs of such ,assyrian kings as ,sargon ,,ii41 ,asshurnazirpal1 ,sennacherib1 and ,asshurbanapal stand out with much distinctness4 ,yet1 as a whole1 the record does not enable us to trace with clearness the progress of scientific thought4 ,at best we can gain fewer glimpses in this direction than in almost any other1 for it is the record of war and conquest rather than of the peaceful arts that commanded the attention of the ancient scribe4 ,so in dealing with the scientific achievements of these peoples1 we shall perforce consider their varied civilizations as a unity1 and attempt1 as best we may1 to summarize their achievements as a whole4 ,for the most part1 we shall not attempt to discriminate as to what share in the final product was due to ,sumerian1 what to ,babylonian1 and what to ,assyrian4 ,we shall speak of ,babylonian science as including all these elements2 and drawing our information chiefly from the relatively late ,assyrian and ,babylonian sources1 which1 therefore1 represent the culminating achievements of all these ages of effort1 we shall attempt to discover what was the actual status of ,mesopotamian science at its climax4 ,in so far as we succeed1 we shall be able to judge what scientific heritage ,europe received from the ,orient2 for in the records of ,babylonian science we have to do with the ,eastern mind at its best4 ,let us turn to the specific inquiry as to the achievements of the ,chaldean scientist whose fame so dazzled the eyes of his contemporaries of the classic world4 ,,babylonian ,,astronomy ,our first concern naturally is astronomy1 this being here1 as in ,egypt1 the first-born and the most important of the sciences4 ,the fame of the ,chaldean astronomer was indeed what chiefly commanded the admiration of the ,greeks1 and it was through the results of astronomical observations that ,babylonia transmitted her most important influences to the ,western world4 ,our division of time is of ,babylonian origin1 says ,hornmel27#g7 to ,babylonia we owe the week of seven days1 with the names of the planets for the days of the week1 and the division into hours and months4 ,hence the almost personal interest which we of to-day must needs feel in the efforts of the ,babylonian star-gazer4 ,it must not be supposed1 however1 that the ,chaldean astronomer had made any very extraordinary advances upon the knowledge of the ,egyptian watchers of the night4 ,after all1 it required patient observation rather than any peculiar genius in the observer to note in the course of time such broad astronomical conditions as the regularity of the moon's phases1 and the relation of the lunar periods to the longer periodical oscillations of the sun4 ,nor could the curious wanderings of the planets escape the attention of even a moderately keen observer4 ,the chief distinction between the ,chaldean and ,egyptian astronomers appears to have consisted in the relative importance they attached to various of the phenomena which they both observed4 ,the ,egyptian1 as we have seen1 centred his attention upon the sun4 ,that luminary was the abode of one of his most important gods4 ,his worship was essentially solar4 ,the ,babylonian1 on the other hand1 appears to have been peculiarly impressed with the importance of the moon4 ,he could not1 of course1 overlook the attention-compelling fact of the solar year2 but his unit of time was the lunar period of thirty days1 and his year consisted of twelve lunar periods1 or #cfj days4 ,he was perfectly aware1 however1 that this period did not coincide with the actual year2 but the relative unimportance which he ascribed to the solar year is evidenced by the fact that he interpolated an added month to adjust the calendar only once in six years4 ,indeed1 it would appear that the ,babylonians and ,assyrians did not adopt precisely the same method of adjusting the calendar1 since the ,babylonians had two intercular months called ,elul and ,adar1 whereas the ,assyrians had only a single such month1 called the second ,adar47#h7 7,the ,ve',adar of the ,hebrews47 ,this diversity further emphasizes the fact that it was the lunar period which received chief attention1 the adjustment of this period with the solar seasons being a necessary expedient of secondary importance4 ,it is held that these lunar periods have often been made to do service for years in the ,babylonian computations and in the allied computations of the early ,hebrews4 ,the lives of the ,hebrew patriarchs1 for example1 as recorded in the ,bible1 are perhaps reckoned in lunar years4 ,divided by twelve1 the years of ,methuselah accord fairly with the usual experience of mankind4 ,yet1 on the other hand1 the convenience of the solar year in computing long periods of time was not unrecognized1 since this period is utilized in reckoning the reigns of the ,assyrian kings4 ,it may be added that the reign of a king was not reckoned from the day of his accession1 but from the ,assyrian new year's day1 either before or after the day of accession4 ,there does not appear to have been any fixed rule as to which new year's day should be chosen2 but from the number of known cases1 it appears to have been the general practice to count the reigning years from the new year's day nearest the accession1 and to call the period between the accession day and the first new year's day 'the beginning of the reign1' when the year from the new year's day was called the first year1 and the following ones were brought successively from it4 ,notwithstanding1 in the dates of several ,assyrian and ,babylonian sovereigns there are cases of the year of accession being considered as the first year1 thus giving two reckonings for the reigns of various monarchs1 among others1 ,shalmaneser1 ,sennacherib1 ,nebuchadrezzar47#i7 ,this uncertainty as to the years of reckoning again emphasizes the fact that the solar year did not have for the ,assyrian chronology quite the same significance that it has for us4 ,the ,assyrian month commenced on the evening when the new moon was first observed1 or1 in case the moon was not visible1 the new month started thirty days after the last month4 ,since the actual lunar period is about twenty-nine and one-half days1 a practical adjustment was required between the months themselves1 and this was probably effected by counting alternate months as ,only #bi days in length4 ,mr4 ,r4 ,campbell ,thompson7#aj7 is led by his studies of the astrological tablets to emphasize this fact4 ,he believes that the object of the astrological reports which related to the appearance of the moon and sun was to help determine and foretell the length of the lunar month4 ,mr4 ,thompson believes also that there is evidence to show that the interculary month was added at a period less than six years4 ,in point of fact1 it does not appear to be quite clearly established as to precisely how the adjustment of days with the lunar months1 and lunar months with the solar year1 was effected4 ,it is clear1 however1 according to ,smith1 that the first #bh days of every month were divided into four weeks of seven days each2 the seventh1 fourteenth1 twenty-first1 twenty-eighth days respectively being ,sabbaths1 and that there was a general prohibition of work on these days4 ,here1 of course1 is the foundation of the ,hebrew system of ,sabbatical days which we have inherited4 ,the sacredness of the number seven itself--the belief in which has not been quite shaken off even to this day--was deduced by the ,assyrian astronomer from his observation of the seven planetary bodies--namely1 ,sin 7the moon71 ,samas 7the sun71 ,umunpawddu 7,jupiter71 ,dilbat 7,venus71 ,kaimanu 7,saturn71 ,gudud 7,mercury71 ,mustabarru-mutanu 7,mars747#aa7 ,twelve lunar periods1 making up approximately the solar year1 gave peculiar importance to the number twelve also4 ,thus the zodiac was divided into twelve signs which astronomers of all subsequent times have continued to recognize2 and the duodecimal system of counting took precedence with the ,babylonian mathematicians over the more primitive and1 as it seems to us1 more satisfactory decimal system4 ,another discrepancy between the ,babylonian and ,egyptian years appears in the fact that the ,babylonian new year dates from about the period of the vernal equinox and not from the solstice4 ,lockyer associates this with the fact that the periodical inundation of the ,tigris and ,euphrates occurs about the equinoctial period1 whereas1 as we have seen1 the ,nile flood comes at the time of the solstice4 ,it is but natural that so important a phenomenon as the ,nile flood should make a strong impression upon the minds of a people living in a valley4 ,the fact that occasional excessive inundations have led to most disastrous results is evidenced in the incorporation of stories of the almost total destruction of mankind by such floods among the myth tales of all peoples who reside in valley countries4 ,the flooding of the ,tigris and ,euphrates had not1 it is true1 quite the same significance for the ,mesopotamians that the ,nile flood had for the ,egyptians4 ,nevertheless it was a most important phenomenon1 and may very readily be imagined to have been the most tangible index to the seasons4 ,but in recognizing the time of the inundations and the vernal equinox1 the ,assyrians did not dethrone the moon from its accustomed precedence1 for the year was reckoned as commencing not precisely at the vernal equinox1 but at the new moon next before the equinox4 ,,astrology ,beyond marking the seasons1 the chief interests that actuated the ,babylonian astronomer in his observations were astrological4 ,after quoting ,diodorus to the effect that the ,babylonian priests observed the position of certain stars in order to cast horoscopes1 ,thompson tells us that from a very early day the very name ,chaldean became synonymous with magician4 ,he adds that from ,mesopotamia1 by way of ,greece and ,rome1 a certain amount of ,babylonian astrology made its way among the nations of the west1 and it is quite probable that many superstitions which we commonly record as the peculiar product of western civilization took their origin from those of the early dwellers on the alluvial lands of ,mesopotamia4 ,one ,assurbanipal1 king of ,assyria ,b4,c4 #ffh-fbf1 added to the royal library at ,nineveh his contribution of tablets1 which included many series of documents which related exclusively to the astrology of the ancient ,babylonians1 who in turn had borrowed it with modifications from the ,sumerian invaders of the country4 ,among these must be mentioned the series which was commonly called 'the ,day of ,bel1' and which was decreed by the learned to have been written in the time of the great ,sargon ,i41 king of ,agade1 #chjj ,b4,c4 ,with such ancient works as these to guide them1 the profession of deducing omens from daily events reached such a pitch of importance in the last ,assyrian ,empire that a system of making periodical reports came into being4 ,by these the king was informed of all the occurrences in the heavens and on earth1 and the results of astrological studies in respect to after events4 ,the heads of the astrological profession were men of high rank and position1 and their office was hereditary4 ,the variety of information contained in these reports is best gathered from the fact that they were sent from cities as far removed from each other as ,assur in the north and ,erech in the south1 and it can only be assumed that they were despatched by runners1 or men mounted on swift horses4 ,as reports also came from ,dilbat1 ,kutba1 ,nippur1 and ,bursippa1 all cities of ancient foundation1 the king was probably well acquainted with the general course of events in his empire47#ab7 ,from certain passages in the astrological tablets1 ,thompson draws the interesting conclusion that the ,chaldean astronomers were acquainted with some kind of a machine for reckoning time4 ,he finds in one of the tablets a phrase which he interprets to mean measure-governor1 and he infers from this the existence of a kind of a calculator4 ,he calls attention also to the fact that ,sextus ,empiricus7#ac7 states that the clepsydra was known to the ,chaldeans1 and that ,herodotus asserts that the ,greeks borrowed certain measures of time from the ,babylonians4 ,he finds further corroboration in the fact that the ,babylonians had a time-measure by which they divided the day and the night2 a measure called kasbu1 which contained two hours4 ,in a report relating to the day of the vernal equinox1 it is stated that there are six kasbu of the day and six kasbu of the night4 ,while the astrologers deduced their omens from all the celestial bodies known to them1 they chiefly gave attention to the moon1 noting with great care the shape of its horns1 and deducing such a conclusion as that if the horns are pointed the king will overcome whatever he goreth1 and that when the moon is low at its appearance1 the submission 7of the people7 of a far country will come47#ad7 ,the relations of the moon and sun were a source of constant observation1 it being noted whether the sun and moon were seen together above the horizon2 whether one set as the other rose1 and the like4 ,and whatever the phenomena1 there was always1 of course1 a direct association between such phenomena and the well-being of human kind--in particular the king1 at whose instance1 and doubtless at whose expense1 the observations were carried out4 ,from omens associated with the heavenly bodies it is but a step to omens based upon other phenomena of nature1 and we1 shall see in a moment that the ,babylonian prophets made free use of their opportunities in this direction also4 ,but before we turn from the field of astronomy1 it will be well to inform ourselves as to what system the ,chaldean astronomer had invented in explanation of the mechanics of the universe4 ,our answer to this inquiry is not quite as definite as could be desired1 the vagueness of the records1 no doubt1 coinciding with the like vagueness in the minds of the ,chaldeans themselves4 ,so far as we can interpret the somewhat mystical references that have come down to us1 however1 the ,babylonian cosmology would seem to have represented the earth as a circular plane surrounded by a great circular river1 beyond which rose an impregnable barrier of mountains1 and resting upon an infinite sea of waters4 ,the material vault of the heavens was supposed to find support upon the outlying circle of mountains4 ,but the precise mechanism through which the observed revolution of the heavenly bodies was effected remains here1 as with the ,egyptian cosmology1 somewhat conjectural4 ,the simple fact would appear to be that1 for the ,chaldeans as for the ,egyptians1 despite their most careful observations of the tangible phenomena of the heavens1 no really satisfactory mechanical conception of the cosmos was attainable4 ,we shall see in due course by what faltering steps the ,european imagination advanced from the crude ideas of ,egypt and ,babylonia to the relatively clear vision of ,newton and ,laplace4 ,,chaldean ,,magic ,we turn now from the field of the astrologer to the closely allied province of ,chaldean magic--a province which includes the other2 which1 indeed1 is so all-encompassing as scarcely to leave any phase of ,babylonian thought outside its bounds4 ,the tablets having to do with omens1 exorcisms1 and the like magic practices make up an astonishingly large proportion of the ,babylonian records4 ,in viewing them it is hard to avoid the conclusion that the superstitions which they evidenced absolutely dominated the life of the ,babylonians of every degree4 ,yet it must not be forgotten that the greatest inconsistencies everywhere exist between the superstitious beliefs of a people and the practical observances of that people4 ,no other problem is so difficult for the historian as that which confronts him when he endeavors to penetrate the mysteries of an alien religion2 and when1 as in the present case1 the superstitions involved have been transmitted from generation to generation1 their exact practical phases as interpreted by any particular generation must be somewhat problematical4 ,the tablets upon which our knowledge of these omens is based are many of them from the libraries of the later kings of ,nineveh2 but the omens themselves are1 in such cases1 inscribed in the original ,accadian form in which they have come down from remote ages1 accompanied by an ,assyrian translation4 ,thus the superstitions involved had back of them hundreds of years1 even thousands of years1 of precedent2 and we need not doubt that the ideas with which they are associated were interwoven with almost every thought and deed of the life of the people4 ,professor ,sayce assures us that the ,assyrians and ,babylonians counted no fewer than three hundred spirits of heaven1 and six hundred spirits of earth4 ,like the ,jews of the ,talmud1 he says1 they believed that the world was swarming with noxious spirits1 who produced the various diseases to which man is liable1 and might be swallowed with the food and drink which support life4 ,fox ,talbot was inclined to believe that exorcisms were the exclusive means used to drive away the tormenting spirits4 ,this seems unlikely1 considering the uniform association of drugs with the magical practices among their people4 ,yet there is certainly a strange silence of the tablets in regard to medicine4 ,talbot tells us that sometimes divine images were brought into the sick-chamber1 and written texts taken from holy books were placed on the walls and bound around the sick man's members4 ,if these failed1 recourse was had to the influence of the mamit1 which the evil powers were unable to resist4 ,on a tablet1 written in the ,accadian language only1 the ,assyrian version being taken1 however1 was found the following3 #a4 ,take a white cloth4 ,in it place the mamit1 #b4 in the sick man's right hand4 #c4 ,take a black cloth1 #d4 wrap it around his left hand4 #e4 ,then all the evil spirits 7a long list of them is given7 #f4 and the sins which he has committed #g4 shall quit their hold of him #h4 and shall never return4 ,the symbolism of the black cloth in the left hand seems evident4 ,the dying man repents of his former evil deeds1 and he puts his trust in holiness1 symbolized by the white cloth in his right hand4 ,then follow some obscure lines about the spirits3 #a4 ,their heads shall remove from his head4 #b4 ,their heads shall let go his hands4 #c4 ,their feet shall depart from his feet4 ,which perhaps may be explained thus3 we learn from another tablet that the various classes of evil spirits troubled different parts of the body2 some injured the head1 some the hands and the feet1 etc41 therefore the passage before may mean the spirits whose power is over the hand shall loose their hands from his1 etc4 ,but1 concludes ,talbot1 ,i can offer no decided opinion upon such obscure points of their superstition47#ae7 ,in regard to evil spirits1 as elsewhere1 the number seven had a peculiar significance1 it being held that that number of spirits might enter into a man together4 ,talbot has translated7#af7 a wild chant which he names ,the ,song of the ,seven ,spirits4 #a4 ,there are seven6 ,there are seven6 #b4 ,in the depths of the ocean there are seven6 #c4 ,in the heights of the heaven there are seven6 #d4 ,in the ocean stream in a palace they were born4 #e4 ,male they are not3 female they are not6 #f4 ,wives they have not6 ,children are not born to them6 #g4 ,rules they have not6 ,government they know not6 #h4 ,prayers they hear not6 #i4 ,there are seven6 ,there are seven6 ,twice over there are seven6 ,the tablets make frequent allusion to these seven spirits4 ,one starts thus3 #a4 ,the god 7---7 shall stand by his bedside2 #b4 ,these seven evil spirits he shall root out and shall expel them from his body1 #c4 and these seven shall never return to the sick man again47#ag7 ,altogether similar are the exorcisms intended to ward off disease4 ,professor ,sayce has published translations of some of these47#ah7 ,each of these ends with the same phrase1 and they differ only in regard to the particular maladies from which freedom is desired4 ,one reads3 ,from wasting1 from want of health1 from the evil spirit of the ulcer1 from the spreading quinsy of the gullet1 from the violent ulcer1 from the noxious ulcer1 may the king of heaven preserve1 may the king of earth preserve4 ,another is phrased thus3 ,from the cruel spirit of the head1 from the strong spirit of the head1 from the head spirit that departs not1 from the head spirit that comes not forth1 from the head spirit that will not go1 from the noxious head spirit1 may the king of heaven preserve1 may the king of earth preserve4 ,as to omens having to do with the affairs of everyday life the number is legion4 ,for example1 ,moppert has published1 in the ,journal ,asiatique17#ai7 the translation of a tablet which contains on its two sides several scores of birth-portents1 a few of which maybe quoted at random3 ,when a woman bears a child and it has the ears of a lion1 a strong king is in the country4 ,when a woman bears a child and it has a bird's beak1 that country is oppressed4 ,when a woman bears a child and its right hand is wanting1 that country goes to destruction4 ,when a woman bears a child and its feet are wanting1 the roads of the country are cut2 that house is destroyed4 ,when a woman bears a child and at the time of its birth its beard is grown1 floods are in the country4 ,when a woman bears a child and at the time of its birth its mouth is open and speaks1 there is pestilence in the country1 the ,air-god inundates the crops of the country1 injury in the country is caused4 ,some of these portents1 it will be observed1 are not in much danger of realization1 and it is curious to surmise by what stretch of the imagination they can have been invented4 ,there is1 for example1 on the same tablet just quoted1 one reference which assures us that when a sheep bears a lion the forces march multitudinously2 the king has not a rival4 ,there are other omens1 however1 that are so easy of realization as to lead one to suppose that any ,babylonian who regarded all the superstitious signs must have been in constant terror4 ,thus a tablet translated by ,professor ,sayce7#bj7 gives a long list of omens furnished by dogs1 in which we are assured that3 #a4 ,if a yellow dog enters into the palace1 exit from that palace will be baleful4 #b4 ,if a dog to the palace goes1 and on a throne lies down1 that palace is burned4 #c4 ,if a black dog into a temple enters1 the foundation of that temple is not stable4 #d4 ,if female dogs one litter bear1 destruction to the city4 ,it is needless to continue these citations1 since they but reiterate endlessly the same story4 ,it is interesting to recall1 however1 that the observations of animate nature1 which were doubtless superstitious in their motive1 had given the ,babylonians some inklings of a knowledge of classification4 ,thus1 according to ,menant17#ba7 some of the tablets from ,nineveh1 which are written1 as usual1 in both the ,sumerian and ,assyrian languages1 and which1 therefore1 like practically all ,assyrian books1 draw upon the knowledge of old ,babylonia1 give lists of animals1 making an attempt at classification4 ,the dog1 lion1 and wolf are placed in one category2 the ox1 sheep1 and goat in another2 the dog family itself is divided into various races1 as the domestic dog1 the coursing dog1 the small dog1 the dog of ,elan1 etc4 ,similar attempts at classification of birds are found4 ,thus1 birds of rapid flight1 sea-birds1 and marsh-birds are differentiated4 ,insects are classified according to habit2 those that attack plants1 animals1 clothing1 or wood4 ,vegetables seem to be classified according to their usefulness4 ,one tablet enumerates the uses of wood according to its adaptability for timber-work of palaces1 or construction of vessels1 the making of implements of husbandry1 or even furniture4 ,minerals occupy a long series in these tablets4 ,they are classed according to their qualities1 gold and silver occupying a division apart2 precious stones forming another series4 ,our ,babylonians1 then1 must be credited with the development of a rudimentary science of natural history4 ,,babylonian ,,medicine ,we have just seen that medical practice in the ,babylonian world was strangely under the cloud of superstition4 ,but it should be understood that our estimate1 through lack of correct data1 probably does much less than justice to the attainments of the physician of the time4 ,as already noted1 the existing tablets chance not to throw much light on the subject4 ,it is known1 however1 that the practitioner of medicine occupied a position of some1 authority and responsibility4 ,the proof of this is found in the clauses relating to the legal status of the physician which are contained in the now famous code7#bb7 of the ,babylonian ,king ,khamurabi1 who reigned about #bcjj years before our era4 ,these clauses1 though throwing no light on the scientific attainments of the physician of the period1 are too curious to be omitted4 ,they are clauses #bae to #bbg of the celebrated code1 and are as follows3 #bae4 ,if a doctor has treated a man for a severe wound with a lancet of bronze and has cured the man1 or has opened a tumor with a bronze lancet and has cured the man's eye1 he shall receive ten shekels of silver4 #baf4 ,if it was a freedman1 he shall receive five shekels of silver4 #bag4 ,if it was a man's slave1 the owner of the slave shall give the doctor two shekels of silver4 #bah4 ,if a physician has treated a free-born man for a severe wound with a lancet of bronze and has caused the man to die1 or has opened a tumor of the man with a lancet of bronze and has destroyed his eye1 his hands one shall cut off4 #bai4 ,if the doctor has treated the slave of a freedman for a severe wound with a bronze lancet and has caused him to die1 he shall give back slave for slave4 #bbj4 ,if he has opened his tumor with a bronze lancet and has ruined his eye1 he shall pay the half of his price in money4 #bba4 ,if a doctor has cured the broken limb of a man1 or has healed his sick body1 the patient shall pay the doctor five shekels of silver4 #bbb4 ,if it was a freedman1 he shall give three shekels of silver4 #bbc4 ,if it was a man's slave1 the owner of the slave shall give two shekels of silver to the doctor4 #bbd4 ,if the doctor of oxen and asses has treated an ox or an ass for a grave wound and has cured it1 the owner of the ox or the ass shall give to the doctor as his pay one-sixth of a shekel of silver4 #bbe4 ,if he has treated an ox or an ass for a severe wound and has caused its death1 he shall pay one-fourth of its price to the owner of the ox or the ass4 #bbf4 ,if a barber-surgeon1 without consent of the owner of a slave1 has branded the slave with an indelible mark1 one shall cut off the hands of that barber4 #bbg4 ,if any one deceive the surgeon-barber and make him brand a slave with an indelible mark1 one shall kill that man and bury him in his house4 ,the barber shall swear1 ,i did not mark him wittingly1 and he shall be guiltless4 ,,estimates ,,of ,,babylonian ,,science ,before turning from the ,oriental world it is perhaps worth while to attempt to estimate somewhat specifically the world-influence of the name1 ,babylonian science4 ,perhaps we cannot better gain an idea as to the estimate put upon that science by the classical world than through a somewhat extended quotation from a classical author4 ,diodorus ,siculus1 who1 as already noted1 lived at about the time of ,augustus1 and who1 therefore1 scanned in perspective the entire sweep of classical ,greek history1 has left us a striking summary which is doubly valuable because of its comparisons of ,babylonian with ,greek influence4 ,having viewed the science of ,babylonia in the light of the interpretations made possible by the recent study of original documents1 we are prepared to draw our own conclusions from the statements of the ,greek historian4 ,here is his estimate in the words of the quaint translation made by ,philemon ,holland in the year #agjj37bc7 ,they being the most ancient ,babylonians1 hold the same station and dignity in the ,common-wealth as the ,egyptian ,priests do in ,egypt3 ,for being deputed to ,divine ,offices1 they spend all their ,time in the study of ,philosophy1 and are especially famous for the ,art of ,astrology4 ,they are mightily given to ,divination1 and foretel future ,events1 and imploy themselves either by ,purifications1 ,sacrifices1 or other ,inchantments to avert ,evils1 or procure good ,fortune and ,success4 ,they are skilful likewise in the ,art of ,divination1 by the flying of ,birds1 and interpreting of ,dreams and ,prodigies3 ,and are reputed as true ,oracles 7in declaring what will come to pass7 by their exact and diligent viewing the ,intrals of the ,sacrifices4 ,but they attain not to this ,knowledge in the same manner as the ,grecians do2 for the ,chaldeans learn it by ,tradition from their ,ancestors1 the ,son from the ,father1 who are all in the mean time free from all other publick ,offices and ,attendances2 and because their ,parents are their ,tutors1 they both learn every thing without ,envy1 and rely with more confidence upon the truth of what is taught them2 and being train'd up in this ,learning1 from their very ,childhood1 they become most famous ,philosophers1 7that ,age being most capable of ,learning1 wherein they spend much of their time74 ,but the ,grecians for the most part come raw to this study1 unfitted and unprepar'd1 and are long before they attain to the ,knowledge of this ,philosophy3 ,and after they have spent some small time in this ,study1 they are many times call'd off and forc'd to leave it1 in order to get a ,livelihood and ,subsistence4 ,and although some1 few do industriously apply themselves to ,philosophy1 yet for the sake of ,gain1 these very ,men are opinionative1 and ever and anon starting new and high ,points1 and never fix in the steps of their ,ancestors4 ,but the ,barbarians keeping constantly close to the same thing1 attain to a perfect and distinct ,knowledge in every particular4 ,but the ,grecians1 cunningly catching at all ,opportunities of ,gain1 make new ,sects and ,parties1 and by their contrary ,opinions wrangling and quarelling concerning the chiefest ,points1 lead their ,scholars into a ,maze2 and being uncertain and doubtful what to pitch upon for certain truth1 their ,minds are fluctuating and in suspence all the days of their ,lives1 and unable to give a certain assent unto any thing4 ,for if any ,man will but examine the most eminent ,sects of the ,philosophers1 he shall find them much differing among themselves1 and even opposing one another in the most weighty parts of their ,philosophy4 ,but to return to the ,chaldeans1 they hold that the ,world is eternal1 which had neither any certain ,beginning1 nor shall have any ,end2 but all agree1 that all things are order'd1 and this beautiful ,fabrick is supported by a ,divine ,providence1 and that the ,motions of the ,heavens are not perform'd by chance and of their own accord1 but by a certain and determinate ,will and ,appointment of the ,gods4 ,therefore from a long observation of the ,stars1 and an exact ,knowledge of the motions and influences of every one of them1 wherein they excel all others1 they fortel many things that are to come to pass4 ,they say that the ,five ,stars which some call ,planets1 but they ,interpreters1 are most worthy of ,consideration1 both for their motions and their remarkable influences1 especially that which the ,grecians call ,saturn4 ,the brightest of them all1 and which often portends many and great ,events1 they call ,sol1 the other ,four they name ,mars1 ,venus1 ,mercury1 and ,jupiter1 with our own ,country ,astrologers4 ,they give the ,name of ,interpreters to these ,stars1 because these only by a peculiar ,motion do portend things to come1 and instead of ,jupiters1 do declare to ,men before-hand the good-will of the ,gods2 whereas the other ,stars 7not being of the number of the ,planets7 have a constant ordinary motion4 ,future ,events 7they say7 are pointed at sometimes by their ,rising1 and sometimes by their ,setting1 and at other times by their ,colour1 as may be experienc'd by those that will diligently observe it2 sometimes foreshewing ,hurricanes1 at other times ,tempestuous ,rains1 and then again exceeding ,droughts4 ,by these1 they say1 are often portended the appearance of ,comets1 ,eclipses of the ,sun and ,moon1 ,earthquakes and all other the various ,changes and remarkable effects in the ,air1 boding good and bad1 not only to ,nations in general1 but to ,kings and ,private ,persons in particular4 ,under the course of these ,planets1 they say are ,thirty ,stars1 which they call ,counselling ,gods1 half of whom observe what is done under the ,earth1 and the other half take notice of the actions of ,men upon the ,earth1 and what is transacted in the ,heavens4 ,once every ,ten ,days space 7they say7 one of the highest ,order of these ,stars descends to them that are of the lowest1 like a ,messenger sent from them above2 and then again another ascends from those below to them above1 and that this is their constant natural motion to continue for ever4 ,the chief of these ,gods1 they say1 are ,twelve in number1 to each of which they attribute a ,month1 and one ,sign of the ,twelve in the ,zodiack4 ,through these ,twelve ,signs the ,sun1 ,moon1 and the other ,five ,planets run their ,course4 ,the ,sun in a ,years time1 and the ,moon in the space of a ,month4 ,to every one of the ,planets they assign their own proper ,courses1 which are perform'd variously in lesser or shorter time according as their several motions are quicker or slower4 ,these ,stars1 they say1 have a great influence both as to good and bad in ,mens ,nativities2 and from the consideration of their several ,natures1 may be foreknown what will befal ,men afterwards4 ,as they foretold things to come to other ,kings formerly1 so they did to ,alexander who conquer'd ,darius1 and to his ,successors ,antigonus and ,seleucus ,nicator2 and accordingly things fell out as they declar'd2 which we shall relate particularly hereafter in a more convenient time4 ,they tell likewise private ,men their ,fortunes so certainly1 that those who have found the thing true by ,experience1 have esteem'd it a ,miracle1 and above the reach of man to perform4 ,out of the ,circle of the ,zodiack they describe ,four and ,twenty ,stars1 ,twelve towards the ,north ,pole1 and as many to the ,south4 ,those which we see1 they assign to the living2 and the other that do not appear1 they conceive are ,constellations for the ,dead2 and they term them ,judges of all things4 ,the ,moon1 they say1 is in the lowest ,orb2 and being therefore next to the ,earth 7because she is so small71 she finishes her ,course in a little time1 not through the swiftness of her ,motion1 but the shortness of her ,sphear4 ,in that which they affirm 7that she has but a borrow'd light1 and that when she is eclips'd1 it's caus'd by the interposition of the shadow of the ,earth7 they agree with the ,grecians4 ,their ,rules and ,notions concerning the ,eclipses of the ,sun are but weak and mean1 which they dare not positively foretel1 nor fix a certain time for them4 ,they have likewise ,opinions concerning the ,earth peculiar to themselves1 affirming it to resemble a ,boat1 and to be hollow1 to prove which1 and other things relating to the frame of the ,world1 they abound in ,arguments2 but to give a particular ,account of 'em1 we conceive would be a thing foreign to our ,history4 ,but this any ,man may justly and truly say1 ,that the ,chaldeans far exceed all other ,men in the ,knowledge of ,astrology1 and have study'd it most of any other ,art or ,science3 ,but the number of years during which the ,chaldeans say1 those of their ,profession have given themselves to the study of this natural ,philosophy1 is incredible2 for when ,alexander was in ,asia1 they reckon'd up ,four ,hundred and ,seventy ,thousand ,years since they first began to observe the ,motions of the ,stars4 ,let us now supplement this estimate of ,babylonian influence with another estimate written in our own day1 and quoted by one of the most recent historians of ,babylonia and ,assyria47#bd7 ,the estimate in question is that of ,canon ,rawlinson in his ,great ,oriental ,monarchies47#be7 ,of ,babylonia he says3 ,hers was apparently the genius which excogitated an alphabet2 worked out the simpler problems of arithmetic2 invented implements for measuring the lapse of time2 conceived the idea of raising enormous structures with the poorest of all materials1 clay2 discovered the art of polishing1 boring1 and engraving gems2 reproduced with truthfulness the outlines of human and animal forms2 attained to high perfection in textile fabrics2 studied with success the motions of the heavenly bodies2 conceived of grammar as a science2 elaborated a system of law2 saw the value of an exact chronology--in almost every branch of science made a beginning1 thus rendering it comparatively easy for other nations to proceed with the superstructure4444 ,it was from the ,east1 not from ,egypt1 that ,greece derived her architecture1 her sculpture1 her science1 her philosophy1 her mathematical knowledge--in a word1 her intellectual life4 ,and ,babylon was the source to which the entire stream of ,eastern civilization may be traced4 ,it is scarcely too much to say that1 but for ,babylon1 real civilization might not yet have dawned upon the earth4 ,considering that a period of almost two thousand years separates the times of writing of these two estimates1 the estimates themselves are singularly in unison4 ,they show that the greatest of ,oriental nations has not suffered in reputation at the hands of posterity4 ,it is indeed almost impossible to contemplate the monuments of ,babylonian and ,assyrian civilization that are now preserved in the ,european and ,american museums without becoming enthusiastic4 ,that certainly was a wonderful civilization which has left us the tablets on which are inscribed the laws of a ,khamurabi on the one hand1 and the art treasures of the palace of an ,asshurbanipal on the other4 ,yet a candid consideration of the scientific attainments of the ,babylonians and ,assyrians can scarcely arouse us to a like enthusiasm4 ,in considering the subject we have seen that1 so far as pure science is concerned1 the efforts of the ,babylonians and ,assyrians chiefly centred about the subjects of astrology and magic4 ,with the records of their ghost-haunted science fresh in mind1 one might be forgiven for a momentary desire to take issue with ,canon ,rawlinson's words4 ,we are assured that the scientific attainments of ,europe are almost solely to be credited to ,babylonia and not to ,egypt1 but we should not forget that ,plato1 the greatest of the ,greek thinkers1 went to ,egypt and not to ,babylonia to pursue his studies when he wished to penetrate the secrets of ,oriental science and philosophy4 ,clearly1 then1 classical ,greece did not consider ,babylonia as having a monopoly of scientific knowledge1 and we of to-day1 when we attempt to weigh the new evidence that has come to us in recent generations with the ,babylonian records themselves1 find that some1 at least1 of the heritages for which ,babylonia has been praised are of more than doubtful value4 ,babylonia1 for example1 gave us our seven-day week and our system of computing by twelves4 ,but surely the world could have got on as well without that magic number seven2 and after some hundreds of generations we are coming to feel that the decimal system of the ,egyptians has advantages over the duodecimal system of the ,babylonians4 ,again1 the ,babylonians did not invent the alphabet2 they did not even accept it when all the rest of the world had recognized its value4 ,in grammar and arithmetic1 as with astronomy1 they seemed not to have advanced greatly1 if at all1 upon the ,egyptians4 ,one field in which they stand out in startling pre-eminence is the field of astrology2 but this1 in the estimate of modern thought1 is the very negation of science4 ,babylonia impressed her superstitions on the ,western world1 and when we consider the baleful influence of these superstitions1 we may almost question whether we might not reverse ,canon ,rawlinson's estimate and say that perhaps but for ,babylonia real civilization1 based on the application of true science1 might have dawned upon the earth a score of centuries before it did4 ,yet1 after all1 perhaps this estimate is unjust4 ,society1 like an individual organism1 must creep before it can walk1 and perhaps the ,babylonian experiments in astrology and magic1 which ,european civilization was destined to copy for some three or four thousand years1 must have been made a part of the necessary evolution of our race in one place or in another4 ,that thought1 however1 need not blind us to the essential fact1 which the historian of science must needs admit1 that for the ,babylonian1 despite his boasted culture1 science spelled superstition4 ,,iv4 ,,the ,,development ,,of ,,the ,,alphabet ,before we turn specifically to the new world of the west1 it remains to take note of what may perhaps be regarded as the very greatest achievement of ancient science4 ,this was the analysis of speech sounds1 and the resulting development of a system of alphabetical writing4 ,to comprehend the series of scientific inductions which led to this result1 we must go back in imagination and trace briefly the development of the methods of recording thought by means of graphic symbols4 ,in other words1 we must trace the evolution of the art of writing4 ,in doing so we cannot hold to national lines as we have done in the preceding two chapters1 though the efforts of the two great scientific nations just considered will enter prominently into the story4 ,the familiar ,greek legend assures us that a ,phoenician named ,kadmus was the first to bring a knowledge of letters into ,europe4 ,an elaboration of the story1 current throughout classical times1 offered the further explanation that the ,phoenicians had in turn acquired the art of writing from the ,egyptians or ,babylonians4 ,knowledge as to the true origin and development of the art of writing did not extend in antiquity beyond such vagaries as these4 ,nineteenth-century studies gave the first real clews to an understanding of the subject4 ,these studies tended to authenticate the essential fact on which the legend of ,kadmus was founded2 to the extent1 at least1 of making it probable that the later ,grecian alphabet was introduced from ,phoenicia--though not1 of course1 by any individual named ,kadmus1 the latter being1 indeed1 a name of purely ,greek origin4 ,further studies of the past generation tended to corroborate the ancient belief as to the original source of the ,phoenician alphabet1 but divided scholars between two opinions3 the one contending that the ,egyptian hieroglyphics were the source upon which the ,phoenicians drew2 and the other contending with equal fervor that the ,babylonian wedge character must be conceded that honor4 ,but1 as has often happened in other fields after years of acrimonious controversy1 a new discovery or two may suffice to show that neither contestant was right4 ,after the ,egyptologists of the school of ,de ,rouge7#a7 thought they had demonstrated that the familiar symbols of the ,phoenician alphabet had been copied from that modified form of ,egyptian hieroglyphics known as the hieratic writing1 the ,assyriologists came forward to prove that certain characters of the ,babylonian syllabary also show a likeness to the alphabetical characters that seemingly could not be due to chance4 ,and then1 when a settlement of the dispute seemed almost hopeless1 it was shown through the ,egyptian excavations that characters even more closely resembling those in dispute had been in use all about the shores of the ,mediterranean1 quite independently of either ,egyptian or ,assyrian writings1 from periods so ancient as to be virtually prehistoric4 ,coupled with this disconcerting discovery are the revelations brought to light by the excavations at the sites of ,knossos and other long-buried cities of the island of ,crete47#b7 ,these excavations1 which are still in progress1 show that the art of writing was known and practised independently in ,crete before that cataclysmic overthrow of the early ,greek civilization which archaeologists are accustomed to ascribe to the hypothetical invasion of the ,dorians4 ,the significance of this is that the art of writing was known in ,europe long before the advent of the mythical ,kadmus4 ,but since the early ,cretan scripts are not to be identified with the scripts used in ,greece in historical times1 whereas the latter are undoubtedly of lineal descent from the ,phoenician alphabet1 the validity of the ,kadmus legend1 in a modified form1 must still be admitted4 ,as has just been suggested1 the new knowledge1 particularly that which related to the great antiquity of characters similar to the ,phoenician alphabetical signs1 is somewhat disconcerting4 ,its general trend1 however1 is quite in the same direction with most of the new archaeological knowledge of recent decades---that is to say1 it tends to emphasize the idea that human civilization in most of its important elaborations is vastly older than has hitherto been supposed4 ,it may be added1 however1 that no definite clews are as yet available that enable us to fix even an approximate date for the origin of the ,phoenician alphabet4 ,the signs1 to which reference has been made1 may well have been in existence for thousands of years1 utilized merely as property marks1 symbols for counting and the like1 before the idea of setting them aside as phonetic symbols was ever conceived4 ,nothing is more certain1 in the judgment of the present-day investigator1 than that man learned to write by slow and painful stages4 ,it is probable that the conception of such an analysis of speech sounds as would make the idea of an alphabet possible came at a very late stage of social evolution1 and as the culminating achievement of a long series of improvements in the art of writing4 ,the precise steps that marked this path of intellectual development can for the most part be known only by inference2 yet it is probable that the main chapters of the story may be reproduced with essential accuracy4 ,,first ,,steps ,for the very first chapters of the story we must go back in imagination to the prehistoric period4 ,even barbaric man feels the need of self-expression1 and strives to make his ideas manifest to other men by pictorial signs4 ,the cave-dwellers scratched pictures of men and animals on the surface of a reindeer horn or mammoth tusk as mementos of his prowess4 ,the ,american ,indian does essentially the same thing to-day1 making pictures that crudely record his successes in war and the chase4 ,the ,northern ,indian had got no farther than this when the white man discovered ,america2 but the ,aztecs of the ,southwest and the ,maya people of ,yucatan had carried their picture-making to a much higher state of elaboration47#c7 ,they had developed systems of pictographs or hieroglyphics that would doubtless in the course of generations have been elaborated into alphabetical systems1 had not the ,europeans cut off the civilization of which they were the highest exponents4 ,what the ,aztec and ,maya were striving towards in the sixteenth century ,a4,d41 various ,oriental nations had attained at least five or six thousand years earlier4 ,in ,egypt at the time of the pyramid-builders1 and in ,babylonia at the same epoch1 the people had developed systems of writing that enabled them not merely to present a limited range of ideas pictorially1 but to express in full elaboration and with finer shades of meaning all the ideas that pertain to highly cultured existence4 ,the man of that time made records of military achievements1 recorded the transactions of every-day business life1 and gave expression to his moral and spiritual aspirations in a way strangely comparable to the manner of our own time4 ,he had perfected highly elaborate systems of writing4 ,,egyptian ,,writing ,of the two ancient systems of writing just referred to as being in vogue at the so-called dawnings of history1 the more picturesque and suggestive was the hieroglyphic system of the ,egyptians4 ,this is a curiously conglomerate system of writing1 made up in part of symbols reminiscent of the crudest stages of picture-writing1 in part of symbols having the phonetic value of syllables1 and in part of true alphabetical letters4 ,in a word1 the ,egyptian writing represents in itself the elements of the various stages through which the art of writing has developed47#d7 ,we must conceive that new features were from time to time added to it1 while the old features1 curiously enough1 were not given up4 ,here1 for example1 in the midst of unintelligible lines and pot-hooks1 are various pictures that are instantly recognizable as representations of hawks1 lions1 ibises1 and the like4 ,it can hardly be questioned that when these pictures were first used calligraphically they were meant to represent the idea of a bird or animal4 ,in other words1 the first stage of picture-writing did not go beyond the mere representation of an eagle by the picture of an eagle4 ,but this1 obviously1 would confine the presentation of ideas within very narrow limits4 ,in due course some inventive genius conceived the thought of symbolizing a picture4 ,to him the outline of an eagle might represent not merely an actual bird1 but the thought of strength1 of courage1 or of swift progress4 ,such a use of symbols obviously extends the range of utility of a nascent art of writing4 ,then in due course some wonderful psychologist--or perhaps the joint efforts of many generations of psychologists--made the astounding discovery that the human voice1 which seems to flow on in an unbroken stream of endlessly varied modulations and intonations1 may really be analyzed into a comparatively limited number of component sounds--into a few hundreds of syllables4 ,that wonderful idea conceived1 it was only a matter of time until it would occur to some other enterprising genius that by selecting an arbitrary symbol to represent each one of these elementary sounds it would be possible to make a written record of the words of human speech which could be reproduced--rephonated--by some one who had never heard the words and did not know in advance what this written record contained4 ,this1 of course1 is what every child learns to do now in the primer class1 but we may feel assured that such an idea never occurred to any human being until the peculiar forms of pictographic writing just referred to had been practised for many centuries4 ,yet1 as we have said1 some genius of prehistoric ,egypt conceived the idea and put it into practical execution1 and the hieroglyphic writing of which the ,egyptians were in full possession at the very beginning of what we term the historical period made use of this phonetic system along with the ideographic system already described4 ,so fond were the ,egyptians of their pictorial symbols used ideographically that they clung to them persistently throughout the entire period of ,egyptian history4 ,they used symbols as phonetic equivalents very frequently1 but they never learned to depend upon them exclusively4 ,the scribe always interspersed his phonetic signs with some other signs intended as graphic aids4 ,after spelling a word out in full1 he added a picture1 sometimes even two or three pictures1 representative of the individual thing1 or at least of the type of thing to which the word belongs4 ,two or three illustrations will make this clear4 ,thus qeften1 monkey1 is spelled out in full1 but the picture of a monkey is added as a determinative2 second1 qenu1 cavalry1 after being spelled1 is made unequivocal by the introduction of a picture of a horse2 third1 temati1 wings1 though spelled elaborately1 has pictures of wings added2 and fourth1 tatu1 quadrupeds1 after being spelled1 has a picture of a quadruped1 and then the picture of a hide1 which is the usual determinative of a quadruped1 followed by three dashes to indicate the plural number4 ,it must not be supposed1 however1 that it was a mere whim which led the ,egyptians to the use of this system of determinatives4 ,there was sound reason back of it4 ,it amounted to no more than the expedient we adopt when we spell to1 two1 or too1 in indication of a single sound with three different meanings4 ,the ,egyptian language abounds in words having more than one meaning1 and in writing these it is obvious that some means of distinction is desirable4 ,the same thing occurs even more frequently in the ,chinese language1 which is monosyllabic4 ,the ,chinese adopt a more clumsy expedient1 supplying a different symbol for each of the meanings of a syllable2 so that while the actual word-sounds of their speech are only a few hundreds in number1 the characters of their written language mount high into the thousands4 ,,babylonian ,,writing ,while the civilization of the ,nile ,valley was developing this extraordinary system of hieroglyphics1 the inhabitants of ,babylonia were practising the art of writing along somewhat different lines4 ,it is certain that they began with picture-making1 and that in due course they advanced to the development of the syllabary2 but1 unlike their ,egyptian cousins1 the men of ,babylonia saw fit to discard the old system when they had perfected a better one47#e7 ,so at a very early day their writing--as revealed to us now through the recent excavations--had ceased to have that pictorial aspect which distinguishes the ,egyptian script4 ,what had originally been pictures of objects--fish1 houses1 and the like--had come to be represented by mere aggregations of wedge-shaped marks4 ,as the writing of the ,babvlonians was chiefly inscribed on soft clay1 the adaptation of this wedge-shaped mark in lieu of an ordinary line was probably a mere matter of convenience1 since the sharp-cornered implement used in making the inscription naturally made a wedge-shaped impression in the clay4 ,that1 however1 is a detail4 ,the essential thing is that the ,babylonian had so fully analyzed the speech-sounds that he felt entire confidence in them1 and having selected a sufficient number of conventional characters--each made up of wedge-shaped lines--to represent all the phonetic sounds of his language1 spelled the words out in syllables and to some extent dispensed with the determinative signs which1 as we have seen1 played so prominent a part in the ,egyptian writing4 ,his cousins the ,assyrians used habitually a system of writing the foundation of which was an elaborate phonetic syllabary2 a system1 therefore1 far removed from the old crude pictograph1 and in some respects much more developed than the complicated ,egyptian method2 yet1 after all1 a system that stopped short of perfection by the wide gap that separates the syllabary from the true alphabet4 ,a brief analysis of speech sounds will aid us in understanding the real nature of the syllabary4 ,let us take for consideration the consonantal sound represented by the letter b4 ,a moment's consideration will make it clear that this sound enters into a large number of syllables4 ,there are1 for example1 at least twenty vowel sounds in the ,english language1 not to speak of certain digraphs2 that is to say1 each of the important vowels has from two to six sounds4 ,each of these vowel sounds may enter into combination with the b sound alone to form three syllables2 as ba1 ab1 bal1 be1 eb1 bel1 etc4 ,thus there are at least sixty b-sound syllables4 ,but this is not the end1 for other consonantal sounds may be associated in the syllables in such combinations as bad1 bed1 bar1 bark1 cab1 etc4 ,as each of the other twenty odd consonantal sounds may enter into similar combinations1 it is obvious that there are several hundreds of fundamental syllables to be taken into account in any syllabic system of writing4 ,for each of these syllables a symbol must be set aside and held in reserve as the representative of that particular sound4 ,a perfect syllabary1 then1 would require some hundred or more of symbols to represent b sounds alone2 and since the sounds for c1 d1 f1 and the rest are equally varied1 the entire syllabary would run into thousands of characters1 almost rivalling in complexity the ,chinese system4 ,but in practice the most perfect syllabary1 ,such as that of the ,babylonians1 fell short of this degree of precision through ignoring the minor shades of sound2 just as our own alphabet is content to represent some thirty vowel sounds by five letters1 ignoring the fact that a1 for example1 has really half a dozen distinct phonetic values4 ,by such slurring of sounds the syllabary is reduced far below its ideal limits2 yet even so it retains three or four hundred characters4 ,in point of fact1 such a work as ,professor ,delitzsch's ,assyrian ,grammar7#f7 presents signs for three hundred and thirty-four syllables1 together with sundry alternative signs and determinatives to tax the memory of the would-be reader of ,assyrian4 ,let us take for example a few of the b sounds4 ,it has been explained that the basis of the ,assyrian written character is a simple wedge-shaped or arrow-head mark4 ,variously repeated and grouped1 these marks make up the syllabic characters4 ,to learn some four hundred such signs as these was the task set1 as an equivalent of learning the a b c's1 to any primer class in old ,assyria in the long generations when that land was the culture ,centre of the world4 ,nor was the task confined to the natives of ,babylonia and ,assyria alone4 ,about the fifteenth century ,b4,c41 and probably for a long time before and after that period1 the exceedingly complex syllabary of the ,babylonians was the official means of communication throughout western ,asia and between ,asia and ,egypt1 as we know from the chance discovery of a collection of letters belonging to the ,egyptian king ,khun-aten1 preserved at ,tel-el-,amarna4 ,in the time of ,ramses the ,great the ,babylonian writing was in all probability considered by a majority of the most highly civilized people in the world to be the most perfect script practicable4 ,doubtless the average scribe of the time did not in the least realize the waste of energy involved in his labors1 or ever suspect that there could be any better way of writing4 ,yet the analysis of any one of these hundreds of syllables into its component phonetic elements--had any one been genius enough to make such analysis--would have given the key to simpler and better things4 ,but such an analysis was very hard to make1 as the sequel shows4 ,nor is the utility of such an analysis self-evident1 as the experience of the ,egyptians proved4 ,the vowel sound is so intimately linked with the consonant--the con-sonant1 implying this intimate relation in its very name--that it seemed extremely difficult to give it individual recognition4 ,to set off the mere labial beginning of the sound by itself1 and to recognize it as an all-essential element of phonation1 was the feat at which human intelligence so long balked4 ,the germ of great things lay in that analysis4 ,it was a process of simplification1 and all art development is from the complex to the simple4 ,unfortunately1 however1 it did not seem a simplification1 but rather quite the reverse4 ,we may well suppose that the idea of wresting from the syllabary its secret of consonants and vowels1 and giving to each consonantal sound a distinct sign1 seemed a most cumbersome and embarrassing complication to the ancient scholars--that is to say1 after the time arrived when any one gave such an idea expression4 ,we can imagine them saying3 ,you will oblige us to use four signs instead of one to write such an elementary syllable as 'bard1' for example4 ,out upon such endless perplexity6 ,nor is such a suggestion purely gratuitous1 for it is an historical fact that the old syllabary continued to be used in ,babylon hundreds of years after the alphabetical system had been introduced47#g7 ,custom is everything in establishing our prejudices4 ,the ,japanese to-day rebel against the introduction of an alphabet1 thinking it ambiguous4 ,yet1 in the end1 conservatism always yields1 and so it was with opposition to the alphabet4 ,once the idea of the consonant had been firmly grasped1 the old syllabary was doomed1 though generations of time might be required to complete the obsequies--generations of time and the influence of a new nation4 ,we have now to inquire how and by whom this advance was made4 ,,the ,,alphabet ,,achieved ,we cannot believe that any nation could have vaulted to the final stage of the simple alphabetical writing without tracing the devious and difficult way of the pictograph and the syllabary4 ,it is possible1 however1 for a cultivated nation to build upon the shoulders of its neighbors1 and1 profiting by the experience of others1 to make sudden leaps upward and onward4 ,and this is seemingly what happened in the final development of the art of writing4 ,for while the ,babylonians and ,assyrians rested content with their elaborate syllabary1 a nation on either side of them1 geographically speaking1 solved the problem1 which they perhaps did not even recognize as a problem2 wrested from their syllabary its secret of consonants and vowels1 and by adopting an arbitrary sign for each consonantal sound1 produced that most wonderful of human inventions1 the alphabet4 ,the two nations credited with this wonderful achievement are the ,phoenicians and the ,persians4 ,but it is not usually conceded that the two are entitled to anything like equal credit4 ,the ,persians1 probably in the time of ,cyrus the ,great1 used certain characters of the ,babylonian script for the construction of an alphabet2 but at this time the ,phoenician alphabet had undoubtedly been in use for some centuries1 and it is more than probable that the ,persian borrowed his idea of an alphabet from a ,phoenician source4 ,and that1 of course1 makes all the difference4 ,granted the idea of an alphabet1 it requires no great reach of constructive genius to supply a set of alphabetical characters2 though even here1 it may be added parenthetically1 a study of the development of alphabets will show that mankind has all along had a characteristic propensity to copy rather than to invent4 ,regarding the ,persian alphabet-maker1 then1 as a copyist rather than a true inventor1 it remains to turn attention to the ,phoenician source whence1 as is commonly believed1 the original alphabet which became the mother of all existing alphabets came into being4 ,it must be admitted at the outset that evidence for the ,phoenician origin of this alphabet is traditional rather than demonstrative4 ,the ,phoenicians were the great traders of antiquity2 undoubtedly they were largely responsible for the transmission of the alphabet from one part of the world to another1 once it had been invented4 ,too much credit cannot be given them for this2 and as the world always honors him who makes an idea fertile rather than the originator of the idea1 there can be little injustice in continuing to speak of the ,phoenicians as the inventors of the alphabet4 ,but the actual facts of the case will probably never be known4 ,for aught we know1 it may have been some dreamy-eyed ,israelite1 some ,babylonian philosopher1 some ,egyptian mystic1 perhaps even some obscure ,cretan1 who gave to the hard-headed ,phoenician trader this conception of a dismembered syllable with its all-essential1 elemental1 wonder-working consonant4 ,but it is futile now to attempt even to surmise on such unfathomable details as these4 ,suffice it that the analysis was made2 that one sign and no more was adopted for each consonantal sound of the ,semitic tongue1 and that the entire cumbersome mechanism of the ,egyptian and ,babylonian writing systems was rendered obsolescent4 ,these systems did not yield at once1 to be sure2 all human experience would have been set at naught had they done so4 ,they held their own1 and much more than held their own1 for many centuries4 ,after the ,phoenicians as a nation had ceased to have importance2 after their original script had been endlessly modified by many alien nations2 after the original alphabet had made the conquest of all civilized ,europe and of far outlying portions of the ,orient--the ,egyptian and ,babylonian scribes continued to indite their missives in the same old pictographs and syllables4 ,the inventive thinker must have been struck with amazement when1 after making the fullest analysis of speech-sounds of which he was capable1 he found himself supplied with only a score or so of symbols4 ,yet as regards the consonantal sounds he had exhausted the resources of the ,semitic tongue4 ,as to vowels1 he scarcely considered them at all4 ,it seemed to him sufficient to use one symbol for each consonantal sound4 ,this reduced the hitherto complex mechanism of writing to so simple a system that the inventor must have regarded it with sheer delight4 ,on the other hand1 the conservative scholar doubtless thought it distinctly ambiguous4 ,in truth1 it must be admitted that the system was imperfect4 ,it was a vast improvement on the old syllabary1 but it had its drawbacks4 ,perhaps it had been made a bit too simple2 certainly it should have had symbols for the vowel sounds as well as for the consonants4 ,nevertheless1 the vowel-lacking alphabet seems to have taken the popular fancy1 and to this day ,semitic people have never supplied its deficiencies save with certain dots and points4 ,peoples using the ,aryan speech soon saw the defect1 and the ,greeks supplied symbols for several new sounds at a very early day47#h7 ,but there the matter rested1 and the alphabet has remained imperfect4 ,for the purposes of the ,english language there should certainly have been added a dozen or more new characters4 ,it is clear1 for example1 that1 in the interest of explicitness1 we should have a separate symbol for the vowel sound in each of the following syllables3 bar1 bay1 bann1 ball1 to cite a single illustration4 ,there is1 to be sure1 a seemingly valid reason for not extending our alphabet1 in the fact that in multiplying syllables it would be difficult to select characters at once easy to make and unambiguous4 ,moreover1 the conservatives might point out1 with telling effect1 that the present alphabet has proved admirably effective for about three thousand years4 ,yet the fact that our dictionaries supply diacritical marks for some thirty vowels sounds to indicate the pronunciation of the words of our every-day speech1 shows how we let memory and guessing do the work that might reasonably be demanded of a really complete alphabet4 ,but1 whatever its defects1 the existing alphabet is a marvellous piece of mechanism1 the result of thousands of years of intellectual effort4 ,it is1 perhaps without exception1 the most stupendous invention of the human intellect within historical times--an achievement taking rank with such great prehistoric discoveries as the use of articulate speech1 the making of a fire1 and the invention of stone implements1 of the wheel and axle1 and of picture-writing4 ,it made possible for the first time that education of the masses upon which all later progress of civilization was so largely to depend4 ,v4 ,,the ,,beginnings ,,of ,,greek ,,science ,herodotus1 the ,father of ,history1 tells us that once upon a time--which time1 as the modern computator shows us1 was about the year #eij ,b4,c4--a war had risen between the ,lydians and the ,medes and continued five years4 ,in these years the ,medes often discomfited the ,lydians and the ,lydians often discomfited the ,medes 7and among other things they fought a battle by night72 and yet they still carried on the war with equally balanced fortitude4 ,in the sixth year a battle took place in which it happened1 when the fight had begun1 that suddenly the day became night4 ,and this change of the day ,thales1 the ,milesian1 had foretold to the ,ionians1 laying down as a limit this very year in which the change took place4 ,the ,lydians1 however1 and the ,medes1 when they saw that it had become night instead of day1 ceased from their fighting and were much more eager1 both of them1 that peace should be made between them4 ,this memorable incident occurred while ,alyattus1 father of ,croesus1 was king of the ,lydians4 ,the modern astronomer1 reckoning backward1 estimates this eclipse as occurring probably ,may #beth1 #ehe ,b4,c4 ,the date is important as fixing a mile-stone in the chronology of ancient history1 but it is doubly memorable because it is the first recorded instance of a predicted eclipse4 ,herodotus1 who tells the story1 was not born until about one hundred years after the incident occurred1 but time had not dimmed the fame of the man who had performed the necromantic feat of prophecy4 ,thales1 the ,milesian1 thanks in part at least to this accomplishment1 had been known in life as first on the list of the ,seven ,wise ,men of ,greece1 and had passed into history as the father of ,greek philosophy4 ,we may add that he had even found wider popular fame through being named by ,hippolytus1 and then by ,father aesop1 as the philosopher who1 intent on studying the heavens1 fell into a well2 whereupon1 says ,hippolytus1 a maid-servant named ,thratta laughed at him and said1 ',in his search for things in the sky he does not see what is at his feet4' ,such citations as these serve to bring vividly to mind the fact that we are entering a new epoch of thought4 ,hitherto our studies have been impersonal4 ,among ,egyptians and ,babylonians alike we have had to deal with classes of scientific records1 but we have scarcely come across a single name4 ,now1 however1 we shall begin to find records of the work of individual investigators4 ,in general1 from now on1 we shall be able to trace each great idea1 if not to its originator1 at least to some one man of genius who was prominent in bringing it before the world4 ,the first of these vitalizers of thought1 who stands out at the beginnings of ,greek history1 is this same ,thales1 of ,miletus4 ,his is not a very sharply defined personality as we look back upon it1 and we can by no means be certain that all the discoveries which are ascribed to him are specifically his4 ,of his individuality as a man we know very little4 ,it is not even quite certain as to where he was born2 ,miletus is usually accepted as his birthplace1 but one tradition makes him by birth a ,phenician4 ,it is not at all in question1 however1 that by blood he was at least in part an ,ionian ,greek4 ,it will be recalled that in the seventh century ,b4,c41 when ,thales was born--and for a long time thereafter--the eastern shores of the aegean ,sea were quite as prominently the centre of ,greek influence as was the peninsula of ,greece itself4 ,not merely ,thales1 but his followers and disciples1 ,anaximander and ,anaximenes1 were born there4 ,so also was ,herodotas1 the ,father of ,history1 not to extend the list4 ,there is nothing anomalous1 then1 in the fact that ,thales1 the father of ,greek thought1 was born and passed his life on soil that was not geographically a part of ,greece2 but the fact has an important significance of another kind4 ,thanks to his environment1 ,thales was necessarily brought more or less in contact with ,oriental ideas4 ,there was close commercial contact between the land of his nativity and the great ,babylonian capital off to the east1 as also with ,egypt4 ,doubtless this association was of influence in shaping the development of ,thales's mind4 ,indeed1 it was an accepted tradition throughout classical times that the ,milesian philosopher had travelled in ,egypt1 and had there gained at least the rudiments of his knowledge of geometry4 ,in the fullest sense1 then1 ,thales may be regarded as representing a link in the chain of thought connecting the learning of the old ,orient with the nascent scholarship of the new ,occident4 ,occupying this position1 it is fitting that the personality of ,thales should partake somewhat of mystery2 that the scene may not be shifted too suddenly from the vague1 impersonal ,east to the individualism of ,europe4 ,all of this1 however1 must not be taken as casting any doubt upon the existence of ,thales as a real person4 ,even the dates of his life--#fdj to #edf ,b4,c4--may be accepted as at least approximately trustworthy2 and the specific discoveries ascribed to him illustrate equally well the stage of development of ,greek thought1 whether ,thales himself or one of his immediate disciples were the discoverer4 ,we have already mentioned the feat which was said to have given ,thales his great reputation4 ,that ,thales was universally credited with having predicted the famous eclipse is beyond question4 ,that he actually did predict it in any precise sense of the word is open to doubt4 ,at all events1 his prediction was not based upon any such precise knowledge as that of the modern astronomer4 ,there is1 indeed1 only one way in which he could have foretold the eclipse1 and that is through knowledge of the regular succession of preceding eclipses4 ,but that knowledge implies access on the part of some one to long series of records of practical observations of the heavens4 ,such records1 as we have seen1 existed in ,egypt and even more notably in ,babylonia4 ,that these records were the source of the information which established the reputation of ,thales is an unavoidable inference4 ,in other words1 the magical prevision of the father of ,greek thought was but a reflex of ,oriental wisdom4 ,nevertheless1 it sufficed to establish ,thales as the father of ,greek astronomy4 ,in point of fact1 his actual astronomical attainments would appear to have been meagre enough4 ,there is nothing to show that he gained an inkling of the true character of the solar system4 ,he did not even recognize the sphericity of the earth1 but held1 still following the ,oriental authorities1 that the world is a flat disk4 ,even his famous cosmogonic guess1 according to which water is the essence of all things and the primordial element out of which the earth was developed1 is but an elaboration of the ,babylonian conception4 ,when we turn to the other field of thought with which the name of ,thales is associated--namely1 geometry--we again find evidence of the ,oriental influence4 ,the science of geometry1 ,herodotus assures us1 was invented in ,egypt4 ,it was there an eminently practical science1 being applied1 as the name literally suggests1 to the measurement of the earth's surface4 ,herodotus tells us that the ,egyptians were obliged to cultivate the science because the periodical inundations washed away the boundary-lines between their farms4 ,the primitive geometer1 then1 was a surveyor4 ,the ,egyptian records1 as now revealed to us1 show that the science had not been carried far in the land of its birth4 ,the ,egyptian geometer was able to measure irregular pieces of land only approximately4 ,he never fully grasped the idea of the perpendicular as the true index of measurement for the triangle1 but based his calculations upon measurements of the actual side of that figure4 ,nevertheless1 he had learned to square the circle with a close approximation to the truth1 and1 in general1 his measurement sufficed for all his practical needs4 ,just how much of the geometrical knowledge which added to the fame of ,thales was borrowed directly from the ,egyptians1 and how much he actually created we cannot be sure4 ,nor is the question raised in disparagement of his genius4 ,receptivity is the first prerequisite to progressive thinking1 and that ,thales reached out after and imbibed portions of ,oriental wisdom argues in itself for the creative character of his genius4 ,whether borrower of originator1 however1 ,thales is credited with the expression of the following geometrical truths3 #a4 ,that the circle is bisected by its diameter4 #b4 ,that the angles at the base of an isosceles triangle are equal4 #c4 ,that when two straight lines cut each other the vertical opposite angles are equal4 #d4 ,that the angle in a semicircle is a right angle4 #e4 ,that one side and one acute angle of a right-angle triangle determine the other sides of the triangle4 ,it was by the application of the last of these principles that ,thales is said to have performed the really notable feat of measuring the distance of a ship from the shore1 his method being precisely the same in principle as that by which the guns are sighted on a modern man-of-war4 ,another practical demonstration which ,thales was credited with making1 and to which also his geometrical studies led him1 was the measurement of any tall object1 such as a pyramid or building or tree1 by means of its shadow4 ,the method1 though simple enough1 was ingenious4 ,it consisted merely in observing the moment of the day when a perpendicular stick casts a shadow equal to its own length4 ,obviously the tree or monument would also cast a shadow equal to its own height at the same moment4 ,it remains then but to measure the length of this shadow to determine the height of the object4 ,such feats as this evidence the practicality of the genius of ,thales4 ,they suggest that ,greek science1 guided by imagination1 was starting on the high-road of observation4 ,we are told that ,thales conceived for the first time the geometry of lines1 and that this1 indeed1 constituted his real advance upon the ,egyptians4 ,we are told also that he conceived the eclipse of the sun as a purely natural phenomenon1 and that herein lay his advance upon the ,chaldean point of view4 ,but if this be true ,thales was greatly in advance of his time1 for it will be recalled that fully two hundred years later the ,greeks under ,nicias before ,syracuse were so disconcerted by the appearance of an eclipse1 which was interpreted as a direct omen and warning1 that ,nicias threw away the last opportunity to rescue his army4 ,thucydides1 it is true1 in recording this fact speaks disparagingly of the superstitious bent of the mind of ,nicias1 but ,thucydides also was a man far in advance of his time4 ,all that we know of the psychology of ,thales is summed up in the famous maxim1 ,know thyself1 a maxim which1 taken in connection with the proven receptivity of the philosopher's mind1 suggests to us a marvellously rounded personality4 ,the disciples or successors of ,thales1 ,anaximander and ,anaximenes1 were credited with advancing knowledge through the invention or introduction of the sundial4 ,we may be sure1 however1 that the gnomon1 which is the rudimentary sundial1 had been known and used from remote periods in the ,orient1 and the most that is probable is that ,anaximander may have elaborated some special design1 possibly the bowl-shaped sundial1 through which the shadow of the gnomon would indicate the time4 ,the same philosopher is said to have made the first sketch of a geographical map1 but this again is a statement which modern researches have shown to be fallacious1 since a ,babylonian attempt at depicting the geography of the world is still preserved to us on a clay tablet4 ,anaximander may1 however1 have been the first ,greek to make an attempt of this kind4 ,here again the influence of ,babylonian science upon the germinating ,western thought is suggested4 ,it is said that ,anaximander departed from ,thales's conception of the earth1 and1 it may be added1 from the ,babylonian conception also1 in that he conceived it as a cylinder1 or rather as a truncated cone1 the upper end of which is the habitable portion4 ,this conception is perhaps the first of these guesses through which the ,greek mind attempted to explain the apparent fixity of the earth4 ,to ask what supports the earth in space is most natural1 but the answer given by ,anaximander1 like that more familiar ,greek solution which transformed the cone1 or cylinder1 into the giant ,atlas1 is but another illustration of that substitution of unwarranted inference for scientific induction which we have already so often pointed out as characteristic of the primitive stages of thought4 ,anaximander held at least one theory which1 as vouched for by various copyists and commentators1 entitles him to be considered perhaps the first teacher of the idea of organic evolution4 ,according to this idea1 man developed from a fishlike ancestor1 growing up as sharks do until able to help himself and then coming forth on dry land47#a7 ,the thought here expressed finds its germ1 perhaps1 in the ,babylonian conception that everything came forth from a chaos of waters4 ,yet the fact that the thought of ,anaximander has come down to posterity through such various channels suggests that the ,greek thinker had got far enough away from the ,oriental conception to make his view seem to his contemporaries a novel and individual one4 ,indeed1 nothing we know of the ,oriental line of thought conveys any suggestion of the idea of transformation of species1 whereas that idea is distinctly formulated in the traditional views of ,anaximander4 ,,vi4 ,,the ,,early ,,greek ,,philosophers ,,in ,,italy ,diogenes ,laertius tells a story about a youth who1 clad in a purple toga1 entered the arena at the ,olympian games and asked to compete with the other youths in boxing4 ,he was derisively denied admission1 presumably because he was beyond the legitimate age for juvenile contestants4 ,nothing daunted1 the youth entered the lists of men1 and turned the laugh on his critics by coming off victor4 ,the youth who performed this feat was named ,pythagoras4 ,he was the same man1 if we may credit the story1 who afterwards migrated to ,italy and became the founder of the famous ,crotonian ,school of ,philosophy2 the man who developed the religion of the ,orphic mysteries2 who conceived the idea of the music of the spheres2 who promulgated the doctrine of metempsychosis2 who first1 perhaps1 of all men clearly conceived the notion that this world on which we live is a ball which moves in space and which may be habitable on every side4 ,a strange development that for a stripling pugilist4 ,but we must not forget that in the ,greek world athletics held a peculiar place4 ,the chief winner of ,olympian games gave his name to an epoch 7the ensuing ,olympiad of four years71 and was honored almost before all others in the land4 ,a sound mind in a sound body was the motto of the day4 ,to excel in feats of strength and dexterity was an accomplishment that even a philosopher need not scorn4 ,it will be recalled that aeschylus distinguished himself at the battle of ,marathon2 that ,thucydides1 the greatest of ,greek historians1 was a general in the ,peloponnesian ,war2 that ,xenophon1 the pupil and biographer of ,socrates1 was chiefly famed for having led the ,ten ,thousand in the memorable campaign of ,cyrus the ,younger2 that ,plato himself was credited with having shown great aptitude in early life as a wrestler4 ,if1 then1 ,pythagoras the philosopher was really the ,pythagoras who won the boxing contest1 we may suppose that in looking back upon this athletic feat from the heights of his priesthood--for he came to be almost deified--he regarded it not as an indiscretion of his youth1 but as one of the greatest achievements of his life4 ,not unlikely he recalled with pride that he was credited with being no less an innovator in athletics than in philosophy4 ,at all events1 tradition credits him with the invention of scientific boxing4 ,was it he1 perhaps1 who taught the ,greeks to strike a rising and swinging blow from the hip1 as depicted in the famous metopes of the ,parthenon8 ,if so1 the innovation of ,pythagoras was as little heeded in this regard in a subsequent age as was his theory of the motion of the earth2 for to strike a swinging blow from the hip1 rather than from the shoulder1 is a trick which the pugilist learned anew in our own day4 ,but enough of pugilism and of what1 at best1 is a doubtful tradition4 ,our concern is with another science than that of the arena4 ,we must follow the purple-robed victor to ,italy--if1 indeed1 we be not over-credulous in accepting the tradition--and learn of triumphs of a different kind that have placed the name of ,pythagoras high on the list of the fathers of ,grecian thought4 ,to ,italy8 ,yes1 to the western limits of the ,greek world4 ,here it was1 beyond the confines of actual ,greek territory1 that ,hellenic thought found its second home1 its first home being1 as we have seen1 in ,asia ,minor4 ,pythagoras1 indeed1 to whom we have just been introduced1 was born on the island of ,samos1 which lies near the coast of ,asia ,minor1 but he probably migrated at an early day to ,crotona1 in ,italy4 ,there he lived1 taught1 and developed his philosophy until rather late in life1 when1 having incurred the displeasure of his fellow-citizens1 he suffered the not unusual penalty of banishment4 ,of the three other great ,italic leaders of thought of the early period1 ,xenophanes came rather late in life to ,elea and founded the famous ,eleatic ,school1 of which ,parmenides became the most distinguished ornament4 ,these two were ,ionians1 and they lived in the sixth century before our era4 ,empedocles1 the ,sicilian1 was of ,doric origin4 ,he lived about the middle of the fifth century ,b4,c41 at a time1 therefore1 when ,athens had attained a position of chief glory among the ,greek states2 but there is no evidence that ,empedocles ever visited that city1 though it was rumored that he returned to the ,peloponnesus to die4 ,the other great ,italic philosophers just named1 living1 as we have seen1 in the previous century1 can scarcely have thought of ,athens as a centre of ,greek thought4 ,indeed1 the very fact that these men lived in ,italy made that peninsula1 rather than the mother-land of ,greece1 the centre of ,hellenic influence4 ,but all these men1 it must constantly be borne in mind1 were ,greeks by birth and language1 fully recognized as such in their own time and by posterity4 ,yet the fact that they lived in a land which was at no time a part of the geographical territory of ,greece must not be forgotten4 ,they1 or their ancestors of recent generations1 had been pioneers among those venturesome colonists who reached out into distant portions of the world1 and made homes for themselves in much the same spirit in which colonists from ,europe began to populate ,america some two thousand years later4 ,in general1 colonists from the different parts of ,greece localized themselves somewhat definitely in their new homes2 yet there must naturally have been a good deal of commingling among the various families of pioneers1 and1 to a certain extent1 a mingling also with the earlier inhabitants of the country4 ,this racial mingling1 combined with the well-known vitalizing influence of the pioneer life1 led1 we may suppose1 to a more rapid and more varied development than occurred among the home-staying ,greeks4 ,in proof of this1 witness the remarkable schools of philosophy which1 as we have seen1 were thus developed at the confines of the ,greek world1 and which were presently to invade and1 as it were1 take by storm the mother-country itself4 ,as to the personality of these pioneer philosophers of the ,west1 our knowledge is for the most part more or less traditional4 ,what has been said of ,thales may be repeated1 in the main1 regarding ,pythagoras1 ,parmenides1 and ,empedocles4 ,that they were real persons is not at all in question1 but much that is merely traditional has come to be associated with their names4 ,pythagoras was the senior1 and doubtless his ideas may have influenced the others more or less1 though each is usually spoken of as the founder of an independent school4 ,much confusion has all along existed1 however1 as to the precise ideas which were to be ascribed to each of the leaders4 ,numberless commentators1 indeed1 have endeavored to pick out from among the traditions of antiquity1 aided by such fragments1 of the writing of the philosophers as have come down to us1 the particular ideas that characterized each thinker1 and to weave these ideas into systems4 ,but such efforts1 notwithstanding the mental energy that has been expended upon them1 were1 of necessity1 futile1 since1 in the first place1 the ancient philosophers themselves did not specialize and systematize their ideas according to modern notions1 and1 in the second place1 the records of their individual teachings have been too scantily preserved to serve for the purpose of classification4 ,it is freely admitted that fable has woven an impenetrable mesh of contradictions about the personalities of these ancient thinkers1 and it would be folly to hope that this same artificer had been less busy with their beliefs and theories4 ,when one reads that ,pythagoras advocated an exclusively vegetable diet1 yet that he was the first to train athletes on meat diet2 that he sacrificed only inanimate things1 yet that he offered up a hundred oxen in honor of his great discovery regarding the sides of a triangle1 and such like inconsistencies in the same biography1 one gains a realizing sense of the extent to which diverse traditions enter into the story as it has come down to us4 ,and yet we must reflect that most men change their opinions in the course of a long lifetime1 and that the antagonistic reports may both be true4 ,true or false1 these fables have an abiding interest1 since they prove the unique and extraordinary character of the personality about which they are woven4 ,the alleged witticisms of a ,whistler1 in our own day1 were doubtless1 for the most part1 quite unknown to ,whistler himself1 yet they never would have been ascribed to him were they not akin to witticisms that he did originate--were they not1 in short1 typical expressions of his personality4 ,and so of the heroes of the past4 ,it is no ordinary man1 said ,george ,henry ,lewes1 speaking of ,pythagoras1 whom fable exalts into the poetic region4 ,whenever you find romantic or miraculous deeds attributed1 be certain that the hero was great enough to maintain the weight of the crown of this fabulous glory47#a7 ,we may not doubt1 then1 that ,pythagoras1 ,parmenides1 and ,empedocles1 with whose names fable was so busy throughout antiquity1 were men of extraordinary personality4 ,we are here chiefly concerned1 however1 neither with the personality of the man nor yet with the precise doctrines which each one of them taught4 ,a knowledge of the latter would be interesting were it attainable1 but in the confused state of the reports that have come down to us we cannot hope to be able to ascribe each idea with precision to its proper source4 ,at best we can merely outline1 even here not too precisely1 the scientific doctrines which the ,italic philosophers as a whole seem to have advocated4 ,first and foremost1 there is the doctrine that the earth is a sphere4 ,pythagoras is said to have been the first advocate of this theory2 but1 unfortunately1 it is reported also that ,parmenides was its author4 ,this rivalship for the discovery of an important truth we shall see repeated over and over in more recent times4 ,could we know the whole truth1 it would perhaps appear that the idea of the sphericity of the earth was originated long before the time of the ,greek philosophers4 ,but it must be admitted that there is no record of any sort to give tangible support to such an assumption4 ,so far as we can ascertain1 no ,egyptian or ,babylonian astronomer ever grasped the wonderful conception that the earth is round4 ,that the ,italic ,greeks should have conceived that idea was perhaps not so much because they were astronomers as because they were practical geographers and geometers4 ,pythagoras1 as we have noted1 was born at ,samos1 and1 therefore1 made a relatively long sea voyage in passing to ,italy4 ,now1 as every one knows1 the most simple and tangible demonstration of the convexity of the earth's surface is furnished by observation of an approaching ship at sea4 ,on a clear day a keen eye may discern the mast and sails rising gradually above the horizon1 to be followed in due course by the hull4 ,similarly1 on approaching the shore1 high objects become visible before those that lie nearer the water4 ,it is at least a plausible supposition that ,pythagoras may have made such observations as these during the voyage in question1 and that therein may lie the germ of that wonderful conception of the world as a sphere4 ,to what extent further proof1 based on the fact that the earth's shadow when the moon is eclipsed is always convex1 may have been known to ,pythagoras we cannot say4 ,there is no proof that any of the ,italic philosophers made extensive records of astronomical observations as did the ,egyptians and ,babylonians2 but we must constantly recall that the writings of classical antiquity have been almost altogether destroyed4 ,the absence of astronomical records is1 therefore1 no proof that such records never existed4 ,pythagoras1 it should be said1 is reported to have travelled in ,egypt1 and he must there have gained an inkling of astronomical methods4 ,indeed1 he speaks of himself specifically1 in a letter quoted by ,diogenes1 as one who is accustomed to study astronomy4 ,yet a later sentence of the letter1 which asserts that the philosopher is not always occupied about speculations of his own fancy1 suggesting1 as it does1 the dreamer rather than the observer1 gives us probably a truer glimpse into the philosopher's mind4 ,there is1 indeed1 reason to suppose that the doctrine of the sphericity of the earth appealed to ,pythagoras chiefly because it accorded with his conception that the sphere is the most perfect solid1 just as the circle is the most perfect plane surface4 ,be that as it may1 the fact remains that we have here1 as far as we can trace its origin1 the first expression of the scientific theory that the earth is round4 ,had the ,italic philosophers accomplished nothing more than this1 their accomplishment would none the less mark an epoch in the progress of thought4 ,that ,pythagoras was an observer of the heavens is further evidenced by the statement made by ,diogenes1 on the authority of ,parmenides1 that ,pythagoras was the first person who discovered or asserted the identity of ,hesperus and ,lucifer--that is to say1 of the morning and the evening star4 ,this was really a remarkable discovery1 and one that was no doubt instrumental later on in determining that theory of the mechanics of the heavens which we shall see elaborated presently4 ,to have made such a discovery argues again for the practicality of the mind of ,pythagoras4 ,his1 indeed1 would seem to have been a mind in which practical common-sense was strangely blended with the capacity for wide and imaginative generalization4 ,as further evidence of his practicality1 it is asserted that he was the first person who introduced measures and weights among the ,greeks1 this assertion being made on the authority of ,aristoxenus4 ,it will be observed that he is said to have introduced1 not to have invented1 weights and measures1 a statement which suggests a knowledge on the part of the ,greeks that weights and measures were previously employed in ,egypt and ,babylonia4 ,the mind that could conceive the world as a sphere and that interested itself in weights and measures was1 obviously1 a mind of the visualizing type4 ,it is characteristic of this type of mind to be interested in the tangibilities of geometry1 hence it is not surprising to be told that ,pythagoras carried that science to perfection4 ,the most famous discovery of ,pythagoras in this field was that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other sides of the triangle4 ,we have already noted the fable that his enthusiasm over this discovery led him to sacrifice a hecatomb4 ,doubtless the story is apocryphal1 but doubtless1 also1 it expresses the truth as to the fervid joy with which the philosopher must have contemplated the results of his creative imagination4 ,no line alleged to have been written by ,pythagoras has come down to us4 ,we are told that he refrained from publishing his doctrines1 except by word of mouth4 ,the ,lucanians and the ,peucetians1 and the ,messapians and the ,romans1 we are assured1 flocked around him1 coming with eagerness to hear his discourses2 no fewer than six hundred came to him every night2 and if any one of them had ever been permitted to see the master1 they wrote of it to their friends as if they had gained some great advantage4 ,nevertheless1 we are assured that until the time of ,philolaus no doctrines of ,pythagoras were ever published1 to which statement it is added that when the three celebrated books were published1 ,plato wrote to have them purchased for him for a hundred minas47#b7 ,but if such books existed1 they are lost to the modern world1 and we are obliged to accept the assertions of relatively late writers as to the theories of the great ,crotonian4 ,perhaps we cannot do better than quote at length from an important summary of the remaining doctrines of ,pythagoras1 which ,diogenes himself quoted from the work of a predecessor47#c7 ,despite its somewhat inchoate character1 this summary is a most remarkable one1 as a brief analysis of its contents will show4 ,it should be explained that ,alexander 7whose work is now lost7 is said to have found these dogmas set down in the commentaries of ,pythagoras4 ,if this assertion be accepted1 we are brought one step nearer the philosopher himself4 ,the summary is as follows3 ,that the monad was the beginning of everything4 ,from the monad proceeds an indefinite duad1 which is subordinate to the monad as to its cause4 ,that from the monad and the indefinite duad proceed numbers4 ,and from numbers signs4 ,and from these last1 lines of which plane figures consist4 ,and from plane figures are derived solid bodies4 ,and from solid bodies sensible bodies1 of which last there are four elements--fire1 water1 earth1 and air4 ,and that the world1 which is indued with life and intellect1 and which is of a spherical figure1 having the earth1 which is also spherical1 and inhabited all over in its centre17#d7 results from a combination of these elements1 and derives its motion from them2 and also that there are antipodes1 and that what is below1 as respects us1 is above in respect of them4 ,he also taught that light and darkness1 and cold and heat1 and dryness and moisture1 were equally divided in the world2 and that while heat was predominant it was summer2 while cold had the mastery1 it was winter2 when dryness prevailed1 it was spring2 and when moisture preponderated1 winter4 ,and while all these qualities were on a level1 then was the loveliest season of the year2 of which the flourishing spring was the wholesome period1 and the season of autumn the most pernicious one4 ,of the day1 he said that the flourishing period was the morning1 and the fading one the evening2 on which account that also was the least healthy time4 ,another of his theories was that the air around the earth was immovable and pregnant with disease1 and that everything in it was mortal2 but that the upper air was in perpetual motion1 and pure and salubrious1 and that everything in that was immortal1 and on that account divine4 ,and that the sun and the moon and the stars were all gods2 for in them the warm principle predominates which is the cause of life4 ,and that the moon derives its light from the sun4 ,and that there is a relationship between men and the gods1 because men partake of the divine principle2 on which account1 also1 ,god exercises his providence for our advantage4 ,also1 that ,fate is the cause of the arrangement of the world both generally and particularly4 ,moreover1 that a ray from the sun penetrated both the cold aether and the dense aether2 and they call the air the cold aether1 and the sea and moisture they call the dense aether4 ,and this ray descends into the depths1 and in this way vivifies everything4 ,and everything which partakes of the principle of heat lives1 on which account1 also1 plants are animated beings2 but that all living things have not necessarily souls4 ,and that the soul is a something tom off from the aether1 both warm and cold1 from its partaking of the cold aether4 ,and that the soul is something different from life4 ,also1 that it is immortal1 because that from which it has been detached is immortal4 ,also1 that animals are born from one another by seeds1 and that it is impossible for there to be any spontaneous production by the earth4 ,and that seed is a drop from the brain which contains in itself a warm vapor2 and that when this is applied to the womb it transmits virtue and moisture and blood from the brain1 from which flesh and sinews and bones and hair and the whole body are produced4 ,and from the vapor is produced the soul1 and also sensation4 ,and that the infant first becomes a solid body at the end of forty days2 but1 according to the principles of harmony1 it is not perfect till seven1 or perhaps nine1 or at most ten months1 and then it is brought forth4 ,and that it contains in itself all the principles of life1 which are all connected together1 and by their union and combination form a harmonious whole1 each of them developing itself at the appointed time4 ,the senses in general1 and especially the sight1 are a vapor of excessive warmth1 and on this account a man is said to see through air and through water4 ,for the hot principle is opposed by the cold one2 since1 if the vapor in the eyes were cold1 it would have the same temperature as the air1 and so would be dissipated4 ,as it is1 in some passages he calls the eyes the gates of the sun2 and he speaks in a similar manner of hearing and of the other senses4 ,he also says that the soul of man is divided into three parts3 into intuition and reason and mind1 and that the first and last divisions are found also in other animals1 but that the middle one1 reason1 is only found in man4 ,and that the chief abode of the soul is in those parts of the body which are between the heart and the brain4 ,and that that portion of it which is in the heart is the mind2 but that deliberation and reason reside in the brain4 ,moreover1 that the senses are drops from them2 and that the reasoning sense is immortal1 but the others are mortal4 ,and that the soul is nourished by the blood2 and that reasons are the winds of the soul4 ,that it is invisible1 and so are its reasons1 since the aether itself is invisible4 ,that the links of the soul are the veins and the arteries and the nerves4 ,but that when it is vigorous1 and is by itself in a quiescent state1 then its links are words and actions4 ,that when it is cast forth upon the earth it wanders about1 resembling the body4 ,moreover1 that ,mercury is the steward of the souls1 and that on this account he has the name of ,conductor1 and ,commercial1 and ,infernal1 since it is he who conducts the souls from their bodies1 and from earth and sea2 and that he conducts the pure souls to the highest region1 and that he does not allow the impure ones to approach them1 nor to come near one another1 but commits them to be bound in indissoluble fetters by the ,furies4 ,the ,pythagoreans also assert that the whole air is full of souls1 and that these are those which are accounted daemons and heroes4 ,also1 that it is by them that dreams are sent among men1 and also the tokens of disease and health2 these last1 too1 being sent not only to men1 but to sheep also1 and other cattle4 ,also that it is they who are concerned with purifications and expiations and all kinds of divination and oracular predictions1 and things of that kind47#e7 ,a brief consideration of this summary of the doctrines of ,pythagoras will show that it at least outlines a most extraordinary variety of scientific ideas4 7#a7 ,there is suggested a theory of monads and the conception of the development from simple to more complex bodies1 passing through the stages of lines1 plain figures1 and solids to sensible bodies4 7#b7 ,the doctrine of the four elements--fire1 water1 earth1 and air--as the basis of all organisms is put forward4 7#c7 ,the idea1 not merely of the sphericity of the earth1 but an explicit conception of the antipodes1 is expressed4 7#d7 ,a conception of the sanitary influence of the air is clearly expressed4 7#e7 ,an idea of the problems of generation and heredity is shown1 together with a distinct disavowal of the doctrine of spontaneous generation--a doctrine which1 it may be added1 remained in vogue1 nevertheless1 for some twenty-four hundred years after the time of ,pythagoras4 7#f7 ,a remarkable analysis of mind is made1 and a distinction between animal minds and the human mind is based on this analysis4 ,the physiological doctrine that the heart is the organ of one department of mind is offset by the clear statement that the remaining factors of mind reside in the brain4 ,this early recognition of brain as the organ of mind must not be forgotten in our later studies4 ,it should be recalled1 however1 that a ,crotonian physician1 ,alemaean1 a younger contemporary of ,pythagoras1 is also credited with the same theory4 7#g7 ,a knowledge of anatomy is at least vaguely foreshadowed in the assertion that veins1 arteries1 and nerves are the links of the soul4 ,in this connection it should be recalled that ,pythagoras was a practical physician4 ,as against these scientific doctrines1 however1 some of them being at least remarkable guesses at the truth1 attention must be called to the concluding paragraph of our quotation1 in which the old familiar daemonology is outlined1 quite after the ,oriental fashion4 ,we shall have occasion to say more as to this phase of the subject later on4 ,meantime1 before leaving ,pythagoras1 let us note that his practical studies of humanity led him to assert the doctrine that the property of friends is common1 and that friendship is equality4 ,his disciples1 we are told1 used to put all their possessions together in one store and use them in common4 ,here1 then1 seemingly1 is the doctrine of communism put to the test of experiment at this early day4 ,if it seem that reference to this carries us beyond the bounds of science1 it may be replied that questions such as this will not lie beyond the bounds of the science of the near future4 ,,xenophanes ,,and ,,parmenides ,there is a whimsical tale about ,pythagoras1 according to which the philosopher was wont to declare that in an earlier state he had visited ,hades1 and had there seen ,homer and ,hesiod tortured because of the absurd things they had said about the gods4 ,apocrypbal or otherwise1 the tale suggests that ,pythagoras was an agnostic as regards the current ,greek religion of his time4 ,the same thing is perhaps true of most of the great thinkers of this earliest period4 ,but one among them was remembered in later times as having had a peculiar aversion to the anthropomorphic conceptions of his fellows4 ,this was ,xenophanes1 who was born at ,colophon probably about the year #ehj ,b4,c41 and who1 after a life of wandering1 settled finally in ,italy and became the founder of the so-called ,eleatic ,school4 ,a few fragments of the philosophical poem in which ,xenophanes expressed his views have come down to us1 and these fragments include a tolerably definite avowal of his faith4 ,god is one supreme among gods and men1 and not like mortals in body or in mind1 says ,xenophanes4 ,again he asserts that mortals suppose that the gods are born 7as they themselves are71 that they wear man's clothing and have human voice and body2 but1 he continues1 if cattle or lions had hands so as to paint with their hands and produce works of art as men do1 they would paint their gods and give them bodies in form like their own--horses like horses1 cattle like cattle4 ,elsewhere he says1 with great acumen3 ,there has not been a man1 nor will there be1 who knows distinctly what ,i say about the gods or in regard to all things4 ,for even if one chance for the most part to say what is true1 still he would not know2 but every one thinks that he knows47#f7 ,in the same spirit ,xenophanes speaks of the battles of ,titans1 of giants1 and of centaurs as fictions of former ages4 ,all this tells of the questioning spirit which distinguishes the scientific investigator4 ,precisely whither this spirit led him we do not know1 but the writers of a later time have preserved a tradition regarding a belief of ,xenophanes that perhaps entitles him to be considered the father of geology4 ,thus ,hippolytus records that ,xenophanes studied the fossils to be found in quarries1 and drew from their observation remarkable conclusions4 ,his words are as follows3 ,xenophanes believes that once the earth was mingled with the sea1 but in the course of time it became freed from moisture2 and his proofs are such as these3 that shells are found in the midst of the land and among the mountains1 that in the quarries of ,syracuse the imprints of a fish and of seals had been found1 and in ,paros the imprint of an anchovy at some depth in the stone1 and in ,melite shallow impressions of all sorts of sea products4 ,he says that these imprints were made when everything long ago was covered with mud1 and then the imprint dried in the mud4 ,further1 he says that all men will be destroyed when the earth sinks into the sea and becomes mud1 and that the race will begin anew from the beginning2 and this transformation takes place for all worlds47#g7 ,here1 then1 we see this earliest of paleontologists studying the fossil-bearing strata of the earth1 and drawing from his observations a marvellously scientific induction4 ,almost two thousand years later another famous citizen of ,italy1 ,leonardo da ,vinci1 was independently to think out similar conclusions from like observations4 ,but not until the nineteenth century of our era1 some twenty-four hundred years after the time of ,xenophanes1 was the old ,greek's doctrine to be accepted by the scientific world4 ,the ideas of ,xenophanes were known to his contemporaries and1 as we see1 quoted for a few centuries by his successors1 then they were ignored or quite forgotten2 and if any philosopher of an ensuing age before the time of ,leonardo championed a like rational explanation of the fossils1 we have no record of the fact4 ,the geological doctrine of ,xenophanes1 then1 must be listed among those remarkable ,greek anticipations of nineteenth-century science which suffered almost total eclipse in the intervening centuries4 ,among the pupils of ,xenophanes was ,parmenides1 the thinker who was destined to carry on the work of his master along the same scientific lines1 though at the same time mingling his scientific conceptions with the mysticism of the poet4 ,we have already had occasion to mention that ,parmenides championed the idea that the earth is round2 noting also that doubts exist as to whether he or ,pythagoras originated this doctrine4 ,no explicit answer to this question can possibly be hoped for4 ,it seems clear1 however1 that for a long time the ,italic ,school1 to which both these philosophers belonged1 had a monopoly of the belief in question4 ,parmenides1 like ,pythagoras1 is credited with having believed in the motion of the earth1 though the evidence furnished by the writings of the philosopher himself is not as demonstrative as one could wish4 ,unfortunately1 the copyists of a later age were more concerned with metaphysical speculations than with more tangible things4 ,but as far as the fragmentary references to the ideas of ,parmenides may be accepted1 they do not support the idea of the earth's motion4 ,indeed1 ,parmenides is made to say explicitly1 in preserved fragments1 that the world is immovable1 limited1 and spheroidal in form47#h7 ,nevertheless1 some modern interpreters have found an opposite meaning in ,parmenides4 ,thus ,ritter interprets him as supposing that the earth is in the centre spherical1 and maintained in rotary motion by its equiponderance2 around it lie certain rings1 the highest composed of the rare element fire1 the next lower a compound of light and darkness1 and lowest of all one wholly of night1 which probably indicated to his mind the surface of the earth1 the centre of which again he probably considered to be fire47#i7 ,but this1 like too many interpretations of ancient thought1 appears to read into the fragments ideas which the words themselves do not warrant4 ,there seems no reason to doubt1 however1 that ,parmenides actually held the doctrine of the earth's sphericity4 ,another glimpse of his astronomical doctrines is furnished us by a fragment which tells us that he conceived the morning and the evening stars to be the same1 a doctrine which1 as we have seen1 was ascribed also to ,pythagoras4 ,indeed1 we may repeat that it is quite impossible to distinguish between the astronomical doctrines of these two philosophers4 ,the poem of ,parmenides in which the cosmogonic speculations occur treats also of the origin of man4 ,the author seems to have had a clear conception that intelligence depends on bodily organism1 and that the more elaborately developed the organism the higher the intelligence4 ,but in the interpretation of this thought we are hampered by the characteristic vagueness of expression1 which may best be evidenced by putting before the reader two ,english translations of the same stanza4 ,here is ,ritter's rendering1 as made into ,english by his translator1 ,morrison3 ,for exactly as each has the state of his limbs many-jointed1 ,so invariably stands it with men in their mind and their reason2 ,for the system of limbs is that which thinketh in mankind ,alike in all and in each3 for thought is the fulness47#aj7 ,the same stanza is given thus by ,george ,henry ,lewes3 ,such as to each man is the nature of his many-jointed limbs1 ,such also is the intelligence of each man2 for it is ,the nature of limbs 7organization7 which thinketh in men1 ,both in one and in all2 for the highest degree of organization gives the highest degree of thought47#aa7 ,here it will be observed that there is virtual agreement between the translators except as to the last clause1 but that clause is most essential4 ,the ,greek phrase is 7gr to gar pleon esti nohma74 ,ritter1 it will be observed1 renders this1 for thought is the fulness4 ,lewes paraphrases it1 for the highest degree of organization gives the highest degree of thought4 ,the difference is intentional1 since ,lewes himself criticises the translation of ,ritter4 ,ritter's translation is certainly the more literal1 but the fact that such diversity is possible suggests one of the chief elements of uncertainty that hamper our interpretation of the thought of antiquity4 ,unfortunately1 the mind of the commentator has usually been directed towards such subtleties1 rather than towards the expression of precise knowledge4 ,hence it is that the philosophers of ,greece are usually thought of as mere dreamers1 and that their true status as scientific discoverers is so often overlooked4 ,with these intangibilities we have no present concern beyond this bare mention2 for us it suffices to gain as clear an idea as we may of the really scientific conceptions of these thinkers1 leaving the subtleties of their deductive reasoning for the most part untouched4 ,,empedocles ,the latest of the important pre-,socratic philosophers of the ,italic school was ,empedocles1 who was born about #did ,b4,c4 and lived to the age of sixty4 ,these dates make ,empedocles strictly contemporary with ,anaxagoras1 a fact which we shall do well to bear in mind when we come to consider the latter's philosophy in the succeeding chapter4 ,like ,pythagoras1 ,empedocles is an imposing figure4 ,indeed1 there is much of similarity between the personalities1 as between the doctrines1 of the two men4 ,empedocles1 like ,pythagoras1 was a physician2 like him also he was the founder of a cult4 ,as statesman1 prophet1 physicist1 physician1 reformer1 and poet he showed a versatility that1 coupled with profundity1 marks the highest genius4 ,in point of versatility we shall perhaps hardly find his equal at a later day--unless1 indeed1 an exception be made of ,eratosthenes4 ,the myths that have grown about the name of ,empedocles show that he was a remarkable personality4 ,he is said to have been an awe-inspiring figure1 clothing himself in ,oriental splendor and moving among mankind as a superior being4 ,tradition has it that he threw himself into the crater of a volcano that his otherwise unexplained disappearance might lead his disciples to believe that he had been miraculously translated2 but tradition goes on to say that one of the brazen slippers of the philosopher was thrown up by the volcano1 thus revealing his subterfuge4 ,another tradition of far more credible aspect asserts that ,empedocles retreated from ,italy1 returning to the home of his fathers in ,peloponnesus to die there obscurely4 ,it seems odd that the facts regarding the death of so great a man1 at so comparatively late a period1 should be obscure2 but this1 perhaps1 is in keeping with the personality of the man himself4 ,his disciples would hesitate to ascribe a merely natural death to so inspired a prophet4 ,empedocles appears to have been at once an observer and a dreamer4 ,he is credited with noting that the pressure of air will sustain the weight of water in an inverted tube2 with divining1 without the possibility of proof1 that light has actual motion in space2 and with asserting that centrifugal motion must keep the heavens from falling4 ,he is credited with a great sanitary feat in the draining of a marsh1 and his knowledge of medicine was held to be supernatural4 ,fortunately1 some fragments of the writings of ,empedocles have come down to us1 enabling us to judge at first hand as to part of his doctrines2 while still more is known through the references made to him by ,plato1 ,aristotle1 and other commentators4 ,empedocles was a poet whose verses stood the test of criticism4 ,in this regard he is in a like position with ,parmenides2 but in neither case are the preserved fragments sufficient to enable us fully to estimate their author's scientific attainments4 ,philosophical writings are obscure enough at the best1 and they perforce become doubly so when expressed in verse4 ,yet there are certain passages of ,empedocles that are unequivocal and full of interest4 ,perhaps the most important conception which the works of ,empedocles reveal to us is the denial of anthropomorphism as applied to deity4 ,we have seen how early the anthropomorphic conception was developed and how closely it was all along clung to2 to shake the mind free from it then was a remarkable feat1 in accomplishing which ,empedocles took a long step in the direction of rationalism4 ,his conception is paralleled by that of another physician1 ,alcmaeon1 of ,proton1 who contended that man's ideas of the gods amounted to mere suppositions at the very most4 ,a rationalistic or sceptical tendency has been the accompaniment of medical training in all ages4 ,the words in which ,empedocles expresses his conception of deity have been preserved and are well worth quoting3 ,it is not impossible1 he says1 to draw near 7to god7 even with the eyes or to take hold of him with our hands1 which in truth is the best highway of persuasion in the mind of man2 for he has no human head fitted to a body1 nor do two shoots branch out from the trunk1 nor has he feet1 nor swift legs1 nor hairy parts1 but he is sacred and ineffable mind alone1 darting through the whole world with swift thoughts47#h7 ,how far ,empedocles carried his denial of anthropomorphism is illustrated by a reference of ,aristotle1 who asserts that ,empedocles regards god as most lacking in the power of perception2 for he alone does not know one of the elements1 ,strife 7hence71 of perishable things4 ,it is difficult to avoid the feeling that ,empedocles here approaches the modern philosophical conception that ,god1 however postulated as immutable1 must also be postulated as unconscious1 since intelligence1 as we know it1 is dependent upon the transmutations of matter4 ,but to urge this thought would be to yield to that philosophizing tendency which has been the bane of interpretation as applied to the ancient thinkers4 ,considering for a moment the more tangible accomplishments of ,empedocles1 we find it alleged that one of his miracles consisted of the preservation of a dead body without putrefaction for some weeks after death4 ,we may assume from this that he had gained in some way a knowledge of embalming4 ,as he was notoriously fond of experiment1 and as the body in question 7assuming for the moment the authenticity of the legend7 must have been preserved without disfigurement1 it is conceivable even that he had hit upon the idea of injecting the arteries4 ,this1 of course1 is pure conjecture2 yet it finds a certain warrant1 both in the fact that the words of ,pythagoras lead us to believe that the arteries were known and studied1 and in the fact that ,empedocles' own words reveal him also as a student of the vascular system4 ,thus ,plutarch cites ,empedocles as believing that the ruling part is not in the head or in the breast1 but in the blood2 wherefore in whatever part of the body the more of this is spread in that part men excel47#ac7 ,and ,empedocles' own words1 as preserved by ,stobaeus1 assert 7the heart7 lies in seas of blood which dart in opposite directions1 and there most of all intelligence centres for men2 for blood about the heart is intelligence in the case of man4 ,all this implies a really remarkable appreciation of the dependence of vital activities upon the blood4 ,this correct physiological conception1 however1 was by no means the most remarkable of the ideas to which ,empedoeles was led by his anatomical studies4 ,his greatest accomplishment was to have conceived and clearly expressed an idea which the modern evolutionist connotes when he speaks of homologous parts--an idea which found a famous modern expositor in ,goethe1 as we shall see when we come to deal with eighteenth-century science4 ,empedocles expresses the idea in these words3 ,hair1 and leaves1 and thick feathers of birds1 are the same thing in origin1 and reptile scales too on strong limbs4 ,but on hedgehogs sharp-pointed hair bristles on their backs47#ad7 ,that the idea of transmutation of parts1 as well as of mere homology1 was in mind is evidenced by a very remarkable sentence in which ,aristotle asserts1 ,empedocles says that fingernails rise from sinew from hardening4 ,nor is this quite all1 for surely we find the germ of the ,lamarckian conception of evolution through the transmission of acquired characters in the assertion that many characteristics appear in animals because it happened to be thus in their birth1 as that they have such a spine because they happen to be descended from one that bent itself backward47#ae7 ,aristotle1 in quoting this remark1 asserts1 with the dogmatism which characterizes the philosophical commentators of every age1 that ,empedocles is wrong1 in making this assertion2 but ,lamarck1 who lived twenty-three hundred years after ,empedocles1 is famous in the history of the doctrine of evolution for elaborating this very idea4 ,it is fair to add1 however1 that the dreamings of ,empedocles regarding the origin of living organisms led him to some conceptions that were much less luminous4 ,on occasion1 ,empedocles the poet got the better of ,empedocles the scientist1 and we are presented with a conception of creation as grotesque as that which delighted the readers of ,paradise ,lost at a later day4 ,empedocles assures us that many heads grow up without necks1 and arms were wandering about1 necks bereft of shoulders1 and eyes roamed about alone with no foreheads47#af7 ,this chaotic condition1 so the poet dreamed1 led to the union of many incongruous parts1 producing creatures with double faces1 offspring of oxen with human faces1 and children of men with oxen heads4 ,but out of this chaos came1 finally1 we are led to infer1 a harmonious aggregation of parts1 producing ultimately the perfected organisms that we see4 ,unfortunately the preserved portions of the writings of ,empedocles do not enlighten us as to the precise way in which final evolution was supposed to be effected2 although the idea of endless experimentation until natural selection resulted in survival of the fittest seems not far afield from certain of the poetical assertions4 ,thus3 ,as divinity was mingled yet more with divinity1 these things 7the various members7 kept coming together in whatever way each might chance4 ,again3 ,at one time all the limbs which form the body united into one by love grew vigorously in the prime of life2 but yet at another time1 separated by evil ,strife1 they wander each in different directions along the breakers of the sea of life4 ,just so is it with plants1 and with fishes dwelling in watery halls1 and beasts whose lair is in the mountains1 and birds borne on wings47#ag7 ,all this is poetry rather than science1 yet such imaginings could come only to one who was groping towards what we moderns should term an evolutionary conception of the origins of organic life2 and however grotesque some of these expressions may appear1 it must be admitted that the morphological ideas of ,empedocles1 as above quoted1 give the ,sicilian philosopher a secure place among the anticipators of the modern evolutionist4 ,,vii4 ,,greek ,,science ,,in ,,the ,,early ,,attic ,,period ,we have travelled rather far in our study of ,greek science1 and yet we have not until now come to ,greece itself4 ,and even now1 the men whose names we are to consider were1 for the most part1 born in out-lying portions of the empire2 they differed from the others we have considered only in the fact that they were drawn presently to the capital4 ,the change is due to a most interesting sequence of historical events4 ,in the day when ,thales and his immediate successors taught in ,miletus1 when the great men of the ,italic school were in their prime1 there was no single undisputed ,centre of ,greek influence4 ,the ,greeks were a disorganized company of petty nations1 welded together chiefly by unity of speech2 but now1 early in the fifth century ,b4,c41 occurred that famous attack upon the ,western world by the ,persians under ,darius and his son and successor ,xerxes4 ,a few months of battling determined the fate of the ,western world4 ,the ,orientals were hurled back2 the glorious memories of ,marathon1 ,salamis1 and ,plataea stimulated the patriotism and enthusiasm of all children of the ,greek race4 ,the ,greeks1 for the first time1 occupied the centre of the historical stage2 for the brief interval of about half a century the different ,grecian principalities lived together in relative harmony4 ,one city was recognized as the metropolis of the loosely bound empire2 one city became the home of culture and the ,mecca towards which all eyes turned2 that city1 of course1 was ,athens4 ,for a brief time all roads led to ,athens1 as1 at a later date1 they all led to ,rome4 ,the waterways which alone bound the widely scattered parts of ,hellas into a united whole led out from ,athens and back to ,athens1 as the spokes of a wheel to its hub4 ,athens was the commercial centre1 and1 largely for that reason1 it became the centre of culture and intellectual influence also4 ,the wise men from the colonies visited the metropolis1 and the wise ,athenians went out to the colonies4 ,whoever aspired to become a leader in politics1 in art1 in literature1 or in philosophy1 made his way to the capital1 and so1 with almost bewildering suddenness1 there blossomed the civilization of the age of ,pericles2 the civilization which produced aeschylus1 ,sophocles1 ,euripides1 ,herodotus1 and ,thucydides2 the civilization which made possible the building of the ,parthenon4 ,,anaxagoras ,sometime during the early part of this golden age there came to ,athens a middle-aged man from ,clazomenae1 who1 from our present stand-point1 was a more interesting personality than perhaps any other in the great galaxy of remarkable men assembled there4 ,the name of this new-comer was ,anaxagoras4 ,it was said in after-time1 we know not with what degree of truth1 that he had been a pupil of ,anaximenes4 ,if so1 he was a pupil who departed far from the teachings of his master4 ,what we know for certain is that ,anaxagoras was a truly original thinker1 and that he became a close friend--in a sense the teacher--of ,pericles and of ,euripides4 ,just how long he remained at ,athens is not certain2 but the time came when he had made himself in some way objectionable to the ,athenian populace through his teachings4 ,filled with the spirit of the investigator1 he could not accept the current conceptions as to the gods4 ,he was a sceptic1 an innovator4 ,such men are never welcome2 they are the chief factors in the progress of thought1 but they must look always to posterity for recognition of their worth2 from their contemporaries they receive1 not thanks1 but persecution4 ,sometimes this persecution takes one form1 sometimes another2 to the credit of the ,greeks be it said1 that with them it usually led to nothing more severe than banishment4 ,in the case of ,anaxagoras1 it is alleged that the sentence pronounced was death2 but that1 thanks to the influence of ,pericles1 this sentence was commuted to banishment4 ,in any event1 the aged philosopher was sent away from the city of his adoption4 ,he retired to ,lampsacus4 ,it is not ,i that have lost the ,athenians1 he said2 it is the ,athenians that have lost me4 ,the exact position which ,anaxagoras had among his contemporaries1 and his exact place in the development of philosophy1 have always been somewhat in dispute4 ,it is not known1 of a certainty1 that he even held an open school at ,athens4 ,ritter thinks it doubtful that he did4 ,it was his fate to be misunderstood1 or underestimated1 by ,aristotle2 that in itself would have sufficed greatly to dim his fame--might1 indeed1 have led to his almost entire neglect had he not been a truly remarkable thinker4 ,with most of the questions that have exercised the commentators we have but scant concern4 ,following ,aristotle1 most historians of philosophy have been metaphysicians2 they have concerned themselves far less with what the ancient thinkers really knew than with what they thought4 ,a chance using of a verbal quibble1 an esoteric phrase1 the expression of a vague mysticism--these would suffice to call forth reams of exposition4 ,it has been the favorite pastime of historians to weave their own anachronistic theories upon the scanty woof of the half-remembered thoughts of the ancient philosophers4 ,to make such cloth of the imagination as this is an alluring pastime1 but one that must not divert us here4 ,our point of view reverses that of the philosophers4 ,we are chiefly concerned1 not with some vague saying of ,anaxagoras1 but with what he really knew regarding the phenomena of nature2 with what he observed1 and with the comprehensible deductions that he derived from his observations4 ,in attempting to answer these inquiries1 we are obliged1 in part1 to take our evidence at second-hand2 but1 fortunately1 some fragments of writings of ,anaxagoras have come down to us4 ,we are told that he wrote only a single book4 ,it was said even 7by ,diogenes7 that he was the first man that ever wrote a work in prose4 ,the latter statement would not bear too close an examination1 yet it is true that no extensive prose compositions of an earlier day than this have been preserved1 though numerous others are known by their fragments4 ,herodotus1 the father of prose1 was a slightly younger contemporary of the ,clazomenaean philosopher2 not unlikely the two men may have met at ,athens4 ,notwithstanding the loss of the greater part of the writings of ,anaxagoras1 however1 a tolerably precise account of his scientific doctrines is accessible4 ,diogenes ,laertius expresses some of them in very clear and precise terms4 ,we have already pointed out the uncertainty that attaches to such evidence as this1 but it is as valid for ,anaxagoras as for another4 ,if we reject such evidence1 we shall often have almost nothing left2 in accepting it we may at least feel certain that we are viewing the thinker as his contemporaries and immediate successors viewed him4 ,following ,diogenes1 then1 we shall find some remarkable scientific opinions ascribed to ,anaxagoras4 ,he asserted1 we are told1 that the sun was a mass of burning iron1 greater than ,peloponnesus1 and that the moon contained houses and also hills and ravines4 ,in corroboration of this1 ,plato represents him as having conjectured the right explanation of the moon's light1 and of the solar and lunar eclipses4 ,he had other astronomical theories that were more fanciful2 thus he said that the stars originally moved about in irregular confusion1 so that at first the pole-star1 which is continually visible1 always appeared in the zenith1 but that afterwards it acquired a certain declination1 and that the ,milky ,way was a reflection of the light of the sun when the stars did not appear4 ,the comets he considered to be a concourse of planets emitting rays1 and the shooting-stars he thought were sparks1 as it were1 leaping from the firmament4 ,much of this is far enough from the truth1 as we now know it1 yet all of it shows an earnest endeavor to explain the observed phenomena of the heavens on rational principles4 ,to have predicated the sun as a great molten mass of iron was indeed a wonderful anticipation of the results of the modern spectroscope4 ,nor can it be said that this hypothesis of ,anaxagoras was a purely visionary guess4 ,it was in all probability a scientific deduction from the observed character of meteoric stones4 ,reference has already been made to the alleged prediction of the fall of the famous meteor at aegespotomi by ,anaxagoras4 ,the assertion that he actually predicted this fall in any proper sense of the word would be obviously absurd4 ,yet the fact that his name is associated with it suggests that he had studied similar meteorites1 or else that he studied this particular one1 since it is not quite clear whether it was before or after this fall that he made the famous assertion that space is full of falling stones4 ,we should stretch the probabilities were we to assert that ,anaxagoras knew that shooting-stars and meteors were the same1 yet there is an interesting suggestiveness in his likening the shooting-stars to sparks leaping from the firmament1 taken in connection with his observation on meteorites4 ,be this as it may1 the fact that something which falls from heaven as a blazing light turns out to be an iron-like mass may very well have suggested to the most rational of thinkers that the great blazing light called the sun has the same composition4 ,this idea grasped1 it was a not unnatural extension to conceive the other heavenly bodies as having the same composition4 ,this led to a truly startling thought4 ,since the heavenly bodies are of the same composition as the earth1 and since they are observed to be whirling about the earth in space1 may we not suppose that they were once a part of the earth itself1 and that they have been thrown off by the force of a whirling motion8 ,such was the conclusion which ,anaxagoras reached2 such his explanation of the origin of the heavenly bodies4 ,it was a marvellous guess4 ,deduct from it all that recent science has shown to be untrue2 bear in mind that the stars are suns1 compared with which the earth is a mere speck of dust2 recall that the sun is parent1 not daughter1 of the earth1 and despite all these deductions1 the cosmogonic guess of ,anaxagoras remains1 as it seems to us1 one of the most marvellous feats of human intelligence4 ,it was the first explanation of the cosmic bodies that could be called1 in any sense1 an anticipation of what the science of our own day accepts as a true explanation of cosmic origins4 ,moreover1 let us urge again that this was no mere accidental flight of the imagination2 it was a scientific induction based on the only data available2 perhaps it is not too much to say that it was the only scientific induction which these data would fairly sustain4 ,of course it is not for a moment to be inferred that ,anaxagoras understood1 in the modern sense1 the character of that whirling force which we call centrifugal4 ,about two thousand years were yet to elapse before that force was explained as elementary inertia2 and even that explanation1 let us not forget1 merely sufficed to push back the barriers of mystery by one other stage2 for even in our day inertia is a statement of fact rather than an explanation4 ,but however little ,anaxagoras could explain the centrifugal force on mechanical principles1 the practical powers of that force were sufficiently open to his observation4 ,the mere experiment of throwing a stone from a sling would1 to an observing mind1 be full of suggestiveness4 ,it would be obvious that by whirling the sling about1 the stone which it held would be sustained in its circling path about the hand in seeming defiance of the earth's pull1 and after the stone had left the sling1 it could fly away from the earth to a distance which the most casual observation would prove to be proportionate to the speed of its flight4 ,extremely rapid motion1 then1 might project bodies from the earth's surface off into space2 a sufficiently rapid whirl would keep them there4 ,anaxagoras conceived that this was precisely what had occurred4 ,his imagination even carried him a step farther--to a conception of a slackening of speed1 through which the heavenly bodies would lose their centrifugal force1 and1 responding to the perpetual pull of gravitation1 would fall back to the earth1 just as the great stone at aegespotomi had been observed to do4 ,here we would seem to have a clear conception of the idea of universal gravitation1 and ,anaxagoras stands before us as the anticipator of ,newton4 ,were it not for one scientific maxim1 we might exalt the old ,greek above the greatest of modern natural philosophers2 but that maxim bids us pause4 ,it is phrased thus1 ,he discovers who proves4 ,anaxagoras could not prove2 his argument was at best suggestive1 not demonstrative4 ,he did not even know the laws which govern falling bodies2 much less could he apply such laws1 even had he known them1 to sidereal bodies at whose size and distance he could only guess in the vaguest terms4 ,still his cosmogonic speculation remains as perhaps the most remarkable one of antiquity4 ,how widely his speculation found currency among his immediate successors is instanced in a passage from ,plato1 where ,socrates is represented as scornfully answering a calumniator in these terms3 ,he asserts that ,i say the sun is a stone and the moon an earth4 ,do you think of accusing ,anaxagoras1 ,miletas1 and have you so low an opinion of these men1 and think them so unskilled in laws1 as not to know that the books of ,anaxagoras the ,clazomenaean are full of these doctrines4 ,and forsooth the young men are learning these matters from me which sometimes they can buy from the orchestra for a drachma1 at the most1 and laugh at ,socrates if he pretends they are his-particularly seeing they are so strange4 ,the element of error contained in these cosmogonic speculations of ,anaxagoras has led critics to do them something less than justice4 ,but there is one other astronomical speculation for which the ,clazomenaean philosopher has received full credit4 ,it is generally admitted that it was he who first found out the explanation of the phases of the moon2 a knowledge that that body shines only by reflected light1 and that its visible forms1 waxing and waning month by month from crescent to disk and from disk to crescent1 merely represent our shifting view of its sun-illumined face4 ,it is difficult to put ourselves in the place of the ancient observer and realize how little the appearances suggest the actual fact4 ,that a body of the same structure as the earth should shine with the radiance of the moon merely because sunlight is reflected from it1 is in itself a supposition seemingly contradicted by ordinary experience4 ,it required the mind of a philosopher1 sustained1 perhaps1 by some experimental observations1 to conceive the idea that what seems so obviously bright may be in reality dark4 ,the germ of the conception of what the philosopher speaks of as the noumena1 or actualities1 back of phenomena or appearances1 had perhaps this crude beginning4 ,anaxagoras could surely point to the moon in support of his seeming paradox that snow1 being really composed of water1 which is dark1 is in reality black and not white--a contention to which we shall refer more at length in a moment4 ,but there is yet another striking thought connected with this new explanation of the phases of the moon4 ,the explanation implies not merely the reflection of light by a dark body1 but by a dark body of a particular form4 ,granted that reflections are in question1 no body but a spherical one could give an appearance which the moon presents4 ,the moon1 then1 is not merely a mass of earth1 it is a spherical mass of earth4 ,here there were no flaws in the reasoning of ,anaxagoras4 ,by scientific induction he passed from observation to explanation4 ,a new and most important element was added to the science of astronomy4 ,looking back from the latter-day stand-point1 it would seem as if the mind of the philosopher must have taken one other step3 the mind that had conceived sun1 moon1 stars1 and earth to be of one substance might naturally1 we should think1 have reached out to the further induction that1 since the moon is a sphere1 the other cosmic bodies1 including the earth1 must be spheres also4 ,but generalizer as he was1 ,anaxagoras was too rigidly scientific a thinker to make this assumption4 ,the data at his command did not1 as he analyzed them1 seem to point to this conclusion4 ,we have seen that ,pythagoras probably1 and ,parmenides surely1 out there in ,italy had conceived the idea of the earth's rotundity1 but the ,pythagorean doctrines were not rapidly taken up in the mother-country1 and ,parmenides1 it must be recalled1 was a strict contemporary of ,anaxagoras himself4 ,it is no reproach1 therefore1 to the ,clazomenaean philosopher that he should have held to the old idea that the earth is flat1 or at most a convex disk--the latter being the ,babylonian conception which probably dominated that ,milesian school to which ,anaxagoras harked back4 ,anaxagoras may never have seen an eclipse of the moon1 and even if he had he might have reflected that1 from certain directions1 a disk may throw precisely the same shadow as a sphere4 ,moreover1 in reference to the shadow cast by the earth1 there was1 so ,anaxagoras believed1 an observation open to him nightly which1 we may well suppose1 was not without influence in suggesting to his mind the probable shape of the earth4 ,the ,milky ,way1 which doubtless had puzzled astronomers from the beginnings of history and which was to continue to puzzle them for many centuries after the day of ,anaxagoras1 was explained by the ,clazomenaean philosopher on a theory obviously suggested by the theory of the moon's phases4 ,since the earth-like moon shines by reflected light at night1 and since the stars seem obviously brighter on dark nights1 ,anaxagoras was but following up a perfectly logical induction when he propounded the theory that the stars in the ,milky ,way seem more numerous and brighter than those of any other part of the heavens1 merely because the ,milky ,way marks the shadow of the earth4 ,of course the inference was wrong1 so far as the shadow of the earth is concerned2 yet it contained a part truth1 the force of which was never fully recognized until the time of ,galileo4 ,this consists in the assertion that the brightness of the ,milky ,way is merely due to the glow of many stars4 ,the shadow-theory of ,anaxagoras would naturally cease to have validity so soon as the sphericity of the earth was proved1 and with it1 seemingly1 fell for the time the companion theory that the ,milky ,way is made up of a multitude of stars4 ,it has been said by a modern critic7#a7 that the shadow-theory was childish in that it failed to note that the ,milky ,way does not follow the course of the ecliptic4 ,but this criticism only holds good so long as we reflect on the true character of the earth as a symmetrical body poised in space4 ,it is quite possible to conceive a body occupying the position of the earth with reference to the sun which would cast a shadow having such a tenuous form as the ,milky ,way presents4 ,such a body obviously would not be a globe1 but a long-drawn-out1 attenuated figure4 ,there is1 to be sure1 no direct evidence preserved to show that ,anaxagoras conceived the world to present such a figure as this1 but what we know of that philosopher's close-reasoning1 logical mind gives some warrant to the assumption--gratuitous though in a sense it be--that the author of the theory of the moon's phases had not failed to ask himself what must be the form of that terrestrial body which could cast the tenuous shadow of the ,milky ,way4 ,moreover1 we must recall that the habitable earth1 as known to the ,greeks of that day1 was a relatively narrow band of territory1 stretching far to the east and to the west4 ,anaxagoras as ,meteorologist ,the man who had studied the meteorite of aegospotami1 and been put by it on the track of such remarkable inductions1 was1 naturally1 not oblivious to the other phenomena of the atmosphere4 ,indeed1 such a mind as that of ,anaxagoras was sure to investigate all manner of natural phenomena1 and almost equally sure to throw new light on any subject that it investigated4 ,hence it is not surprising to find ,anaxagoras credited with explaining the winds as due to the rarefactions of the atmosphere produced by the sun4 ,this explanation gives ,anaxagoras full right to be called the father of meteorology1 a title which1 it may be1 no one has thought of applying to him1 chiefly because the science of meteorology did not make its real beginnings until some twenty-four hundred years after the death of its first great votary4 ,not content with explaining the winds1 this prototype of ,franklin turned his attention even to the tipper atmosphere4 ,thunder1 he is reputed to have said1 was produced by the collision of the clouds1 and lightning by the rubbing together of the clouds4 ,we dare not go so far as to suggest that this implies an association in the mind of ,anaxagoras between the friction of the clouds and the observed electrical effects generated by the friction of such a substance as amber4 ,to make such a suggestion doubtless would be to fall victim to the old familiar propensity to read into ,homer things that ,homer never knew4 ,yet the significant fact remains that ,anaxagoras ascribed to thunder and to lightning their true position as strictly natural phenomena4 ,for him it was no god that menaced humanity with thundering voice and the flash of his divine fires from the clouds4 ,little wonder that the thinker whose science carried him to such scepticism as this should have felt the wrath of the superstitious ,athenians4 ,biological ,speculations ,passing from the phenomena of the air to those of the earth itself1 we learn that ,anaxagoras explained an earthquake as being produced by the returning of air into the earth4 ,we cannot be sure as to the exact meaning here1 though the idea that gases are imprisoned in the substance of the earth seems not far afield4 ,but a far more remarkable insight than this would imply was shown by ,anaxagoras when he asserted that a certain amount of air is contained in water1 and that fishes breathe this air4 ,the passage of ,aristotle in which this opinion is ascribed to ,anaxagoras is of sufficient interest to be quoted at length3 ,democritus1 of ,abdera1 says ,aristotle1 and some others1 that have spoken concerning respiration1 have determined nothing concerning other animals1 but seem to have supposed that all animals respire4 ,but ,anaxagoras and ,diogenes 7,apolloniates71 who say that all animals respire1 have also endeavored to explain how fishes1 and all those animals that have a hard1 rough shell1 such as oysters1 mussels1 etc41 respire4 ,and ,anaxagoras1 indeed1 says that fishes1 when they emit water through their gills1 attract air from the mouth to the vacuum in the viscera from the water which surrounds the mouth2 as if air was inherent in the water47#b7 ,it should be recalled that of the three philosophers thus mentioned as contending that all animals respire1 ,anaxagoras was the elder2 he1 therefore1 was presumably the originator of the idea4 ,it will be observed1 too1 that ,anaxagoras alone is held responsible for the idea that fishes respire air through their gills1 attracting it from the water4 ,this certainly was one of the shrewdest physiological guesses of any age1 if it be regarded as a mere guess4 ,with greater justice we might refer to it as a profound deduction from the principle of the uniformity of nature4 ,in making such a deduction1 ,anaxagoras was far in advance of his time as illustrated by the fact that ,aristotle makes the citation we have just quoted merely to add that such things are impossible1 and to refute these impossible ideas by means of metaphysical reasonings that seemed demonstrative not merely to himself1 but to many generations of his followers4 ,we are told that ,anaxagoras alleged that all animals were originally generated out of moisture1 heat1 and earth particles4 ,just what opinion he held concerning man's development we are not informed4 ,yet there is one of his phrases which suggests--without1 perhaps1 quite proving--that he was an evolutionist4 ,this phrase asserts1 with insight that is fairly startling1 that man is the most intelligent of animals because he has hands4 ,the man who could make that assertion must1 it would seem1 have had in mind the idea of the development of intelligence through the use of hands--an idea the full force of which was not evident to subsequent generations of thinkers until the time of ,darwin4 ,physical ,speculations ,anaxagoras is cited by ,aristotle as believing that plants are animals and feel pleasure and pain1 inferring this because they shed their leaves and let them grow again4 ,the idea is fanciful1 yet it suggests again a truly philosophical conception of the unity of nature4 ,the man who could conceive that idea was but little hampered by traditional conceptions4 ,he was exercising a rare combination of the rigidly scientific spirit with the poetical imagination4 ,he who possesses these gifts is sure not to stop in his questionings of nature until he has found some thinkable explanation of the character of matter itself4 ,anaxagoras found such an explanation1 and1 as good luck would have it1 that explanation has been preserved4 ,let us examine his reasoning in some detail4 ,we have already referred to the claim alleged to have been made by ,anaxagoras that snow is not really white1 but black4 ,the philosopher explained his paradox1 we are told1 by asserting that snow is really water1 and that water is dark1 when viewed under proper conditions--as at the bottom of a well4 ,that idea contains the germ of the ,clazomenaean philosopher's conception of the nature of matter4 ,indeed1 it is not unlikely that this theory of matter grew out of his observation of the changing forms of water4 ,he seems clearly to have grasped the idea that snow on the one hand1 and vapor on the other1 are of the same intimate substance as the water from which they are derived and into which they may be again transformed4 ,the fact that steam and snow can be changed back into water1 and by simple manipulation cannot be changed into any other substance1 finds1 as we now believe1 its true explanation in the fact that the molecular structure1 as we phrase it--that is to say1 the ultimate particle of which water is composed1 is not changed1 and this is precisely the explanation which ,anaxagoras gave of the same phenomena4 ,for him the unit particle of water constituted an elementary body1 uncreated1 unchangeable1 indestructible4 ,this particle1 in association with like particles1 constitutes the substance which we call water4 ,the same particle in association with particles unlike itself1 might produce totally different substances--as1 for example1 when water is taken up by the roots of a plant and becomes1 seemingly1 a part of the substance of the plant4 ,but whatever the changed association1 so ,anaxagoras reasoned1 the ultimate particle of water remains a particle of water still4 ,and what was true of water was true also1 so he conceived1 of every other substance4 ,gold1 silver1 iron1 earth1 and the various vegetables and animal tissues--in short1 each and every one of all the different substances with which experience makes us familiar1 is made up of unit particles which maintain their integrity in whatever combination they may be associated4 ,this implies1 obviously1 a multitude of primordial particles1 each one having an individuality of its own2 each one1 like the particle of water already cited1 uncreated1 unchangeable1 and indestructible4 ,fortunately1 we have the philosopher's own words to guide us as to his speculations here4 ,the fragments of his writings that have come down to us 7chiefly through the quotations of ,simplicius7 deal almost exclusively with these ultimate conceptions of his imagination4 ,in ascribing to him1 then1 this conception of diverse1 uncreated1 primordial elements1 which can never be changed1 but can only be mixed together to form substances of the material world1 we are not reading back post-,daltonian knowledge into the system of ,anaxagoras4 ,here are his words3 ,the ,greeks do not rightly use the terms 'coming into being' and 'perishing4' ,for nothing comes into being1 nor1 yet1 does anything perish2 but there is mixture and separation of things that are4 ,so they would do right in calling 'coming into being' 'mixture' and 'perishing' 'separation4' ,for how could hair come from what is not hair8 ,or flesh from what is not flesh8 ,elsewhere he tells us that 7at one stage of the world's development7 the dense1 the moist1 the cold1 the dark1 collected there where now is earth2 the rare1 the warm1 the dry1 the bright1 departed towards the further part of the aether4 ,the earth is condensed out of these things that are separated1 for water is separated from the clouds1 and earth from the water2 and from the earth stones are condensed by the cold1 and these are separated farther from the water4 ,here again the influence of heat and cold in determining physical qualities is kept pre-eminently in mind4 ,the dense1 the moist1 the cold1 the dark are contrasted with the rare1 the warm1 the dry1 and bright2 and the formation of stones is spoken of as a specific condensation due to the influence of cold4 ,here1 then1 we have nearly all the elements of the ,daltonian theory of atoms on the one hand1 and the nebular hypothesis of ,laplace on the other4 ,but this is not quite all4 ,in addition to such diverse elementary particles as those of gold1 water1 and the rest1 ,anaxagoras conceived a species of particles differing from all the others1 not merely as they differ from one another1 but constituting a class by themselves2 particles infinitely smaller than the others2 particles that are described as infinite1 self-powerful1 mixed with nothing1 but existing alone4 ,that is to say 7interpreting the theory in the only way that seems plausible71 these most minute particles do not mix with the other primordial particles to form material substances in the same way in which these mixed with one another4 ,but1 on the other hand1 these infinite1 self-powerful1 and unmixed particles commingle everywhere and in every substance whatever with the mixed particles that go to make up the substances4 ,there is a distinction here1 it will be observed1 which at once suggests the modern distinction between physical processes and chemical processes1 or1 putting it otherwise1 between molecular processes and atomic processes2 but the reader must be guarded against supposing that ,anaxagoras had any such thought as this in mind4 ,his ultimate mixable particles can be compared only with the ,daltonian atom1 not with the molecule of the modern physicist1 and his infinite1 self-powerful1 and unmixable particles are not comparable with anything but the ether of the modern physicist1 with which hypothetical substance they have many points of resemblance4 ,but the infinite1 self-powerful1 and unmixed particles constituting thus an ether-like plenum which permeates all material structures1 have also1 in the mind of ,anaxagoras1 a function which carries them perhaps a stage beyond the province of the modern ether4 ,for these infinite1 self powerful1 and unmixed particles are imbued with1 and1 indeed1 themselves constitute1 what ,anaxagoras terms nous1 a word which the modern translator has usually paraphrased as mind4 ,neither that word nor any other available one probably conveys an accurate idea of what ,anaxagoras meant to imply by the word nous4 ,for him the word meant not merely mind in the sense of receptive and comprehending intelligence1 but directive and creative intelligence as well4 ,again let ,anaxagoras speak for himself3 ,other things include a portion of everything1 but nous is infinite1 and self-powerful1 and mixed with nothing1 but it exists alone1 itself by itself4 ,for if it were not by itself1 but were mixed with anything else1 it would include parts of all things1 if it were mixed with anything2 for a portion of everything exists in every thing1 as has been said by me before1 and things mingled with it would prevent it from having power over anything in the same way that it does now that it is alone by itself4 ,for it is the most rarefied of all things and the purest1 and it has all knowledge in regard to everything and the greatest power2 over all that has life1 both greater and less1 nous rules4 ,and nous ruled the rotation of the whole1 so that it set it in rotation in the beginning4 ,first it began the rotation from a small beginning1 then more and more was included in the motion1 and yet more will be included4 ,both the mixed and the separated and distinct1 all things nous recognized4 ,and whatever things were to be1 and whatever things were1 as many as are now1 and whatever things shall be1 all these nous arranged in order2 and it arranged that rotation1 according to which now rotate stars and sun and moon and air and aether1 now that they are separated4 ,rotation itself caused the separation1 and the dense is separated from the rare1 the warm from the cold1 the bright from the dark1 the dry from the moist4 ,and when nous began to set things in motion1 there was separation from everything that was in motion1 all this was made distinct4 ,the rotation of the things that were moved and made distinct caused them to be yet more distinct47#c7 ,nous1 then1 as ,anaxagoras conceives it1 is the most rarefied of all things1 and the purest1 and it has knowledge in regard to everything and the greatest power2 over all that has life1 both greater and less1 it rules4 ,but these are postulants of omnipresence and omniscience4 ,in other words1 nous is nothing less than the omnipotent artificer of the material universe4 ,it lacks nothing of the power of deity1 save only that we are not assured that it created the primordial particles4 ,the creation of these particles was a conception that for ,anaxagoras1 as for the modern ,spencer1 lay beyond the range of imagination4 ,nous is the artificer1 working with uncreated particles4 ,back of nous and the particles lies1 for an ,anaxagoras as for a ,spencer1 the ,unknowable4 ,but nous itself is the equivalent of that universal energy of motion which science recognizes as operating between the particles of matter1 and which the theologist personifies as ,deity4 ,it is ,pantheistic deity as ,anaxagoras conceives it2 his may be called the first scientific conception of a non-anthropomorphic god4 ,in elaborating this conception ,anaxagoras proved himself one of the most remarkable scientific dreamers of antiquity4 ,to have substituted for the ,greek ,pantheon of anthropomorphic deities the conception of a non-anthropomorphic immaterial and ethereal entity1 of all things in the world the most rarefied and the purest1 is to have performed a feat which1 considering the age and the environment in which it was accomplished1 staggers the imagination4 ,as a strictly scientific accomplishment the great thinker's conception of primordial elements contained a germ of the truth which was to lie dormant for #bbjj years1 but which then1 as modified and vitalized by the genius of ,dalton1 was to dominate the new chemical science of the nineteenth century4 ,if there are intimations that the primordial element of ,anaxagoras and of ,dalton may turn out in the near future to be itself a compound1 there will still remain the yet finer particles of the nous of ,anaxagoras to baffle the most subtle analysis of which to-day's science gives us any pre-vision4 ,all in all1 then1 the work of ,anaxagoras must stand as that of perhaps the most far-seeing scientific imagination of pre-,socratic antiquity4 ,,leucippus ,,and ,,democritus ,but we must not leave this alluring field of speculation as to the nature of matter without referring to another scientific guess1 which soon followed that of ,anaxagoras and was destined to gain even wider fame1 and which in modern times has been somewhat unjustly held to eclipse the glory of the other achievement4 ,we mean1 of course1 the atomic theory of ,leucippus and ,democritus4 ,this theory reduced all matter to primordial elements1 called atoms 7gr atoma7 because they are by hypothesis incapable of further division4 ,these atoms1 making up the entire material universe1 are in this theory conceived as qualitatively identical1 differing from one another only in size and perhaps in shape4 ,the union of different-sized atoms in endless combinations produces the diverse substances with which our senses make us familiar4 ,before we pass to a consideration of this alluring theory1 and particularly to a comparison of it with the theory of ,anaxagoras1 we must catch a glimpse of the personality of the men to whom the theory owes its origin4 ,one of these1 ,leucippus1 presents so uncertain a figure as to be almost mythical4 ,indeed1 it was long questioned whether such a man had actually lived1 or whether he were not really an invention of his alleged disciple1 ,democritus4 ,latterday scholarship1 however1 accepts him as a real personage1 though knowing scarcely more of him than that he was the author of the famous theory with which his name was associated4 ,it is suggested that he was a wanderer1 like most philosophers of his time1 and that later in life he came to ,abdera1 in ,thrace1 and through this circumstance became the teacher of ,democritus4 ,this fable answers as well as another4 ,what we really know is that ,democritus himself1 through whose writings and teachings the atomic theory gained vogue1 was born in ,abdera1 about the year #dfj ,b4,c4--that is to say1 just about the time when his great precursor1 ,anaxagoras1 was migrating to ,athens4 ,democritus1 like most others of the early ,greek thinkers1 lives in tradition as a picturesque figure4 ,it is vaguely reported that he travelled for a time1 perhaps in the ,east and in ,egypt1 and that then he settled down to spend the remainder of his life in ,abdera4 ,whether or not he visited ,athens in the course of his wanderings we do not know4 ,at ,abdera he was revered as a sage1 but his influence upon the practical civilization of the time was not marked4 ,he was pre-eminently a dreamer and a writer4 ,like his confreres of the epoch1 he entered all fields of thought4 ,he wrote voluminously1 but1 unfortunately1 his writings have1 for the most part1 perished4 ,the fables and traditions of a later day asserted that ,democritus had voluntarily put out his own eyes that he might turn his thoughts inward with more concentration4 ,doubtless this is fiction1 yet1 as usual with such fictions1 it contains a germ of truth2 for we may well suppose that the promulgator of the atomic theory was a man whose mind was attracted by the subtleties of thought rather than by the tangibilities of observation4 ,yet the term laughing philosopher1 which seems to have been universally applied to ,democritus1 suggests a mind not altogether withdrawn from the world of practicalities4 ,so much for ,democritus the man4 ,let us return now to his theory of atoms4 ,this theory1 it must be confessed1 made no very great impression upon his contemporaries4 ,it found an expositor1 a little later1 in the philosopher ,epicurus1 and later still the poet ,lucretius gave it popular expression4 ,but it seemed scarcely more than the dream of a philosopher or the vagary of a poet until the day when modern science began to penetrate the mysteries of matter4 ,when1 finally1 the researches of ,dalton and his followers had placed the atomic theory on a surer footing as the foundation of modern chemistry1 the ideas of the old laughing philosopher of ,abdera1 which all along had been half derisively remembered1 were recalled with a new interest4 ,now it appeared that these ideas had curiously foreshadowed nineteenth-century knowledge4 ,it appeared that away back in the fifth century ,b4,c4 a man had dreamed out a conception of the ultimate nature of matter which had waited all these centuries for corroboration4 ,and now the historians of philosophy became more than anxious to do justice to the memory of ,democritus4 ,it is possible that this effort at poetical restitution has carried the enthusiast too far4 ,there is1 indeed1 a curious suggestiveness in the theory of ,democritus2 there is philosophical allurement in his reduction of all matter to a single element2 it contains1 it may be1 not merely a germ of the science of the nineteenth-century chemistry1 but perhaps the germs also of the yet undeveloped chemistry of the twentieth century4 ,yet we dare suggest that in their enthusiasm for the atomic theory of ,democritus the historians of our generation have done something less than justice to that philosopher's precursor1 ,anaxagoras4 ,and one suspects that the mere accident of a name has been instrumental in producing this result4 ,democritus called his primordial element an atom2 ,anaxagoras1 too1 conceived a primordial element1 but he called it merely a seed or thing2 he failed to christen it distinctively4 ,modern science adopted the word atom and gave it universal vogue4 ,it owed a debt of gratitude to ,democritus for supplying it the word1 but it somewhat overpaid the debt in too closely linking the new meaning of the word with its old original one4 ,for1 let it be clearly understood1 the ,daltonian atom is not precisely comparable with the atom of ,democritus4 ,the atom1 as ,democritus conceived it1 was monistic2 all atoms1 according to this hypothesis1 are of the same substance2 one atom differs from another merely in size and shape1 but not at all in quality4 ,but the ,daltonian hypothesis conceived1 and nearly all the experimental efforts of the nineteenth century seemed to prove1 that there are numerous classes of atoms1 each differing in its very essence from the others4 ,as the case stands to-day the chemist deals with seventy-odd substances1 which he calls elements4 ,each one of these substances is1 as he conceives it1 made up of elementary atoms having a unique personality1 each differing in quality from all the others4 ,as far as experiment has thus far safely carried us1 the atom of gold is a primordial element which remains an atom of gold and nothing else1 no matter with what other atoms it is associated4 ,so1 too1 of the atom of silver1 or zinc1 or sodium--in short1 of each and every one of the seventy-odd elements4 ,there are1 indeed1 as we shall see1 experiments that suggest the dissolution of the atom--that suggest1 in short1 that the ,daltonian atom is misnamed1 being a structure that may1 under certain conditions1 be broken asunder4 ,but these experiments have1 as yet1 the warrant rather of philosophy than of pure science1 and to-day we demand that the philosophy of science shall be the handmaid of experiment4 ,when experiment shall have demonstrated that the ,daltonian atom is a compound1 and that in truth there is but a single true atom1 which1 combining with its fellows perhaps in varying numbers and in different special relations1 produces the ,daltonian atoms1 then the philosophical theory of monism will have the experimental warrant which to-day it lacks2 then we shall be a step nearer to the atom of ,democritus in one direction1 a step farther away in the other4 ,we shall be nearer1 in that the conception of ,democritus was1 in a sense1 monistic2 farther away1 in that all the atoms of ,democritus1 large and small alike1 were considered as permanently fixed in size4 ,democritus postulated all his atoms as of the same substance1 differing not at all in quality2 yet he was obliged to conceive that the varying size of the atoms gave to them varying functions which amounted to qualitative differences4 ,he might claim for his largest atom the same quality of substance as for his smallest1 but so long as he conceived that the large atoms1 when adjusted together to form a tangible substance1 formed a substance different in quality from the substance which the small atoms would make up when similarly grouped1 this concession amounts to the predication of difference of quality between the atoms themselves4 ,the entire question reduces itself virtually to a quibble over the word quality1 ,so long as one atom conceived to be primordial and indivisible is conceded to be of such a nature as necessarily to produce a different impression on our senses1 when grouped with its fellows1 from the impression produced by other atoms when similarly grouped1 such primordial atoms do differ among themselves in precisely the same way for all practical purposes as do the primordial elements of ,anaxagoras4 ,the monistic conception towards which twentieth-century chemistry seems to be carrying us may perhaps show that all the so-called atoms are compounded of a single element4 ,all the true atoms making up that element may then properly be said to have the same quality1 but none the less will it remain true that the combinations of that element that go to make up the different ,daltonian atoms differ from one another in quality in precisely the same sense in which such tangible substances as gold1 and oxygen1 and mercury1 and diamonds differ from one another4 ,in the last analysis of the monistic philosophy1 there is but one substance and one quality in the universe4 ,in the widest view of that philosophy1 gold and oxygen and mercury and diamonds are one substance1 and1 if you please1 one quality4 ,but such refinements of analysis as this are for the transcendental philosopher1 and not for the scientist4 ,whatever the allurement of such reasoning1 we must for the purpose of science let words have a specific meaning1 nor must we let a mere word-jugglery blind us to the evidence of facts4 ,that was the rock on which ,greek science foundered2 it is the rock which the modern helmsman sometimes finds it difficult to avoid4 ,and if we mistake not1 this case of the atom of ,democritus is precisely a case in point4 ,because ,democritus said that his atoms did not differ in quality1 the modern philosopher has seen in his theory the essentials of monism2 has discovered in it not merely a forecast of the chemistry of the nineteenth century1 but a forecast of the hypothetical chemistry of the future4 ,and1 on the other hand1 because ,anaxagoras predicted a different quality for his primordial elements1 the philosopher of our day has discredited the primordial element of ,anaxagoras4 ,yet if our analysis does not lead us astray1 the theory of ,democritus was not truly monistic2 his indestructible atoms1 differing from one another in size and shape1 utterly incapable of being changed from the form which they had maintained from the beginning1 were in reality as truly and primordially different as are the primordial elements of ,anaxagoras4 ,in other words1 the atom of ,democritus is nothing less than the primordial seed of ,anaxagoras1 a little more tangibly visualized and given a distinctive name4 ,anaxagoras explicitly conceived his elements as invisibly small1 as infinite in number1 and as made up of an indefinite number of kinds--one for each distinctive substance in the world4 ,but precisely the same postulates are made of the atom of ,democritus4 ,these also are invisibly small2 these also are infinite in number2 these also are made up of an indefinite number of kinds1 corresponding with the observed difference of substances in the world4 ,primitive seeds1 or atoms1 were alike conceived to be primordial1 un-changeable1 and indestructible4 ,wherein then lies the difference8 ,we answer1 chiefly in a name2 almost solely in the fact that ,anaxagoras did not attempt to postulate the physical properties of the elements beyond stating that each has a distinctive personality1 while ,democritus did attempt to postulate these properties4 ,he1 too1 admitted that each kind of element has its distinctive personality1 and he attempted to visualize and describe the characteristics of the personality4 ,thus while ,anaxagoras tells us nothing of his elements except that they differ from one another1 ,democritus postulates a difference in size1 imagines some elements as heavier and some as lighter1 and conceives even that the elements may be provided with projecting hooks1 with the aid of which they link themselves one with another4 ,no one to-day takes these crude visualizings seriously as to their details4 ,the sole element of truth which these dreamings contain1 as distinguishing them from the dreamings of ,anaxagoras1 is in the conception that the various atoms differ in size and weight4 ,here1 indeed1 is a vague fore-shadowing of that chemistry of form which began to come into prominence towards the close of the nineteenth century4 ,to have forecast even dimly this newest phase of chemical knowledge1 across the abyss of centuries1 is indeed a feat to put ,democritus in the front rank of thinkers4 ,but this estimate should not blind us to the fact that the pre-vision of ,democritus was but a slight elaboration of a theory which had its origin with another thinker4 ,the association between ,anaxagoras and ,democritus cannot be directly traced1 but it is an association which the historian of ideas should never for a moment forget4 ,if we are not to be misled by mere word-jugglery1 we shall recognize the founder of the atomic theory of matter in ,anaxagoras2 its expositors along slightly different lines in ,leucippus and ,democritus2 its re-discoverer of the nineteenth century in ,dalton4 ,all in all1 then1 just as ,anaxagoras preceded ,democritus in time1 so must he take precedence over him also as an inductive thinker1 who carried the use of the scientific imagination to its farthest reach4 ,an analysis of the theories of the two men leads to somewhat the same conclusion that might be reached from a comparison of their lives4 ,anaxagoras was a sceptical1 experimental scientist1 gifted also with the prophetic imagination4 ,he reasoned always from the particular to the general1 after the manner of true induction1 and he scarcely took a step beyond the confines of secure induction4 ,true scientist that he was1 he could content himself with postulating different qualities for his elements1 without pretending to know how these qualities could be defined4 ,his elements were by hypothesis invisible1 hence he would not attempt to visualize them4 ,democritus1 on the other hand1 refused to recognize this barrier4 ,where he could not know1 he still did not hesitate to guess4 ,just as he conceived his atom of a definite form with a definite structure1 even so he conceived that the atmosphere about him was full of invisible spirits2 he accepted the current superstitions of his time4 ,like the average ,greeks of his day1 he even believed in such omens as those furnished by inspecting the entrails of a fowl4 ,these chance bits of biography are weather-vanes of the mind of ,democritus4 ,they tend to substantiate our conviction that ,democritus must rank below ,anaxagoras as a devotee of pure science4 ,but1 after all1 such comparisons and estimates as this are utterly futile4 ,the essential fact for us is that here1 in the fifth century before our era1 we find put forward the most penetrating guess as to the constitution of matter that the history of ancient thought has to present to us4 ,in one direction1 the avenue of progress is barred2 there will be no farther step that way till we come down the centuries to the time of ,dalton4 ,,hippocrates ,,and ,,greek ,,medicine ,these studies of the constitution of matter have carried us to the limits of the field of scientific imagination in antiquity2 let us now turn sharply and consider a department of science in which theory joins hands with practicality4 ,let us witness the beginnings of scientific therapeutics4 ,medicine among the early ,greeks1 before the time of ,hippocrates1 was a crude mixture of religion1 necromancy1 and mysticism4 ,temples were erected to the god of medicine1 aesculapius1 and sick persons made their way1 or were carried1 to these temples1 where they sought to gain the favor of the god by suitable offerings1 and learn the way to regain their health through remedies or methods revealed to them in dreams by the god4 ,when the patient had been thus cured1 he placed a tablet in the temple describing his sickness1 and telling by what method the god had cured him4 ,he again made suitable offerings at the temple1 which were sometimes in the form of gold or silver representations of the diseased organ--a gold or silver model of a heart1 hand1 foot1 etc4 ,nevertheless1 despite this belief in the supernatural1 many drugs and healing lotions were employed1 and the ,greek physicians possessed considerable skill in dressing wounds and bandaging4 ,but they did not depend upon these surgical dressings alone1 using with them certain appropriate prayers and incantations1 recited over the injured member at the time of applying the dressings4 ,even the very early ,greeks had learned something of anatomy4 ,the daily contact with wounds and broken bones must of necessity lead to a crude understanding of anatomy in general4 ,the first ,greek anatomist1 however1 who is recognized as such1 is said to have been ,alcmaeon4 ,he is said to have made extensive dissections of the lower animals1 and to have described many hitherto unknown structures1 such as the optic nerve and the ,eustachian canal--the small tube leading into the throat from the ear4 ,he is credited with many unique explanations of natural phenomena1 such as1 for example1 the explanation that hearing is produced by the hollow bone behind the ear2 for all hollow things are sonorous4 ,he was a rationalist1 and he taught that the brain is the organ of mind4 ,the sources of our information about his work1 however1 are unreliable4 ,democedes1 who lived in the sixth century ,b4,c41 is the first physician of whom we have any trustworthy history4 ,we learn from ,herodotus that he came from ,croton to aegina1 where1 in recognition of his skill1 he was appointed medical officer of the city4 ,from aegina he was called to ,athens at an increased salary1 and later was in charge of medical affairs in several other ,greek cities4 ,he was finally called to ,samos by the tyrant ,polycrates1 who reigned there from about #ecf to #ebb ,b4,c4 ,but on the death of ,polycrates1 who was murdered by the ,persians1 ,democedes became a slave4 ,his fame as a physician1 however1 had reached the ears of the ,persian monarch1 and shortly after his capture he was permitted to show his skill upon ,king ,darius himself4 ,the ,persian monarch was suffering from a sprained ankle1 which his ,egyptian surgeons had been unable to cure4 ,democedes not only cured the injured member but used his influence in saving the lives of his ,egyptian rivals1 who had been condemned to death by the king4 ,at another time he showed his skill by curing the queen1 who was suffering from a chronic abscess of long standing4 ,this so pleased the monarch that he offered him as a reward anything he might desire1 except his liberty4 ,but the costly gifts of ,darius did not satisfy him so long as he remained a slave2 and determined to secure his freedom at any cost1 he volunteered to lead some ,persian spies into his native country1 promising to use his influence in converting some of the leading men of his nation to the ,persian cause4 ,laden with the wealth that had been heaped upon him by ,darius1 he set forth upon his mission1 but upon reaching his native city of ,croton he threw off his mask1 renounced his ,persian mission1 and became once more a free ,greek4 ,while the story of ,democedes throws little light upon the medical practices of the time1 it shows that paid city medical officers existed in ,greece as early as the fifth and sixth centuries ,b4,c4 ,even then there were different schools of medicine1 whose disciples disagreed radically in their methods of treating diseases2 and there were also specialists in certain diseases1 quacks1 and charlatans4 ,some physicians depended entirely upon external lotions for healing all disorders2 others were hydrotherapeutists or bath-physicians2 while there were a host of physicians who administered a great variety of herbs and drugs4 ,there were also magicians who pretended to heal by sorcery1 and great numbers of bone-setters1 oculists1 and dentists4 ,many of the wealthy physicians had hospitals1 or clinics1 where patients were operated upon and treated4 ,they were not hospitals in our modern understanding of the term1 but were more like dispensaries1 where patients were treated temporarily1 but were not allowed to remain for any length of time4 ,certain communities established and supported these dispensaries for the care of the poor4 ,but anything approaching a rational system of medicine was not established1 until ,hippocrates of ,cos1 the father of medicine1 came upon the scene4 ,in an age that produced ,phidias1 ,lysias1 ,herodotus1 ,sophocles1 and ,pericles1 it seems but natural that the medical art should find an exponent who would rise above superstitious dogmas and lay the foundation for a medical science4 ,his rejection of the supernatural alone stamps the greatness of his genius4 ,but1 besides this1 he introduced more detailed observation of diseases1 and demonstrated the importance that attaches to prognosis4 ,hippocrates was born at ,cos1 about #dfj ,b4,c41 but spent most of his life at ,larissa1 in ,thessaly4 ,he was educated as a physician by his father1 and travelled extensively as an itinerant practitioner for several years4 ,his travels in different climates and among many different people undoubtedly tended to sharpen his keen sense of observation4 ,he was a practical physician as well as a theorist1 and1 withal1 a clear and concise writer4 ,life is short1 he says1 opportunity fleeting1 judgment difficult1 treatment easy1 but treatment after thought is proper and profitable4 ,his knowledge of anatomy was necessarily very imperfect1 and was gained largely from his predecessors1 to whom he gave full credit4 ,dissections of the human body were forbidden him1 and he was obliged to confine his experimental researches to operations on the lower animals4 ,his knowledge of the structure and arrangement of the bones1 however1 was fairly accurate1 but the anatomy of the softer tissues1 as he conceived it1 was a queer jumbling together of blood-vessels1 muscles1 and tendons4 ,he does refer to nerves1 to be sure1 but apparently the structures referred to are the tendons and ligaments1 rather than the nerves themselves4 ,he was better acquainted with the principal organs in the cavities of the body1 and knew1 for example1 that the heart is divided into four cavities1 two of which he supposed to contain blood1 and the other two air4 ,his most revolutionary step was his divorcing of the supernatural from the natural1 and establishing the fact that disease is due to natural causes and should be treated accordingly4 ,the effect of such an attitude can hardly be over-estimated4 ,the establishment of such a theory was naturally followed by a close observation as to the course of diseases and the effects of treatment4 ,to facilitate this1 he introduced the custom of writing down his observations as he made them--the clinical history of the case4 ,such clinical records are in use all over the world to-day1 and their importance is so obvious that it is almost incomprehensible that they should have fallen into disuse shortly after the time of ,hippocrates1 and not brought into general use again until almost two thousand years later4 ,but scarcely less important than his recognition of disease as a natural phenomenon was the importance he attributed to prognosis4 ,prognosis1 in the sense of prophecy1 was common before the time of ,hippocrates4 ,but prognosis1 as he practised it and as we understand it to-day1 is prophecy based on careful observation of the course of diseases--something more than superstitious conjecture4 ,although ,hippocratic medicine rested on the belief in natural causes1 nevertheless1 dogma and theory held an important place4 ,the humoral theory of disease was an all-important one1 and so fully was this theory accepted that it influenced the science of medicine all through succeeding centuries4 ,according to this celebrated theory there are four humors in the body--blood1 phlegm1 yellow bile1 and black bile4 ,when these humors are mixed in exact proportions they constitute health2 but any deviations from these proportions produce disease4 ,in treating diseases the aim of the physician was to discover which of these humors were out of proportion and to restore them to their natural equilibrium4 ,it was in the methods employed in this restitution1 rather than a disagreement about the humors themselves1 that resulted in the various schools of medicine4 ,in many ways the surgery of ,hippocrates showed a better understanding of the structure of the organs than of their functions4 ,some of the surgical procedures as described by him are followed1 with slight modifications1 to-day4 ,many of his methods were entirely lost sight of until modern times1 and one1 the treatment of dislocation of the outer end of the collar-bone1 was not revived until some time in the eighteenth century4 ,hippocrates1 it seems1 like modern physicians1 sometimes suffered from the ingratitude of his patients4 ,the physician visits a patient suffering from fever or a wound1 and prescribes for him1 he says2 on the next day1 if the patient feels worse the blame is laid upon the physician2 if1 on the other hand1 he feels better1 nature is extolled1 and the physician reaps no praise4 ,the essence of this has been repeated in rhyme and prose by writers in every age and country1 but the father of medicine cautions physicians against allowing it to influence their attitude towards their profession4 ,,viii4 ,,post-,,socratic ,,science ,,at ,,athens--,,plato1 ,,aristotle1 ,,and ,,theophrastus ,doubtless it has been noticed that our earlier scientists were as far removed as possible from the limitations of specialism4 ,in point of fact1 in this early day1 knowledge had not been classified as it came to be later on4 ,the philosopher was1 as his name implied1 a lover of knowledge1 and he did not find it beyond the reach of his capacity to apply himself to all departments of the field of human investigation4 ,it is nothing strange to discover that ,anaximander and the ,pythagoreans and ,anaxagoras have propounded theories regarding the structure of the cosmos1 the origin and development of animals and man1 and the nature of matter itself4 ,nowadays1 so enormously involved has become the mass of mere facts regarding each of these departments of knowledge that no one man has the temerity to attempt to master them all4 ,but it was different in those days of beginnings4 ,then the methods of observation were still crude1 and it was quite the custom for a thinker of forceful personality to find an eager following among disciples who never thought of putting his theories to the test of experiment4 ,the great lesson that true science in the last resort depends upon observation and measurement1 upon compass and balance1 had not yet been learned1 though here and there a thinker like ,anaxagoras had gained an inkling of it4 ,for the moment1 indeed1 there in ,attica1 which was now1 thanks to that outburst of ,periclean culture1 the centre of the world's civilization1 the trend of thought was to take quite another direction4 ,the very year which saw the birth of ,democritus at ,abdera1 and of ,hippocrates1 marked also the birth1 at ,athens1 of another remarkable man1 whose influence it would scarcely be possible to over-estimate4 ,this man was ,socrates4 ,the main facts of his history are familiar to every one4 ,it will be recalled that ,socrates spent his entire life in ,athens1 mingling everywhere with the populace2 haranguing1 so the tradition goes1 every one who would listen2 inculcating moral lessons1 and finally incurring the disapprobation of at least a voting majority of his fellow-citizens4 ,he gathered about him a company of remarkable men with ,plato at their head1 but this could not save him from the disapprobation of the multitudes1 at whose hands he suffered death1 legally administered after a public trial4 ,the facts at command as to certain customs of the ,greeks at this period make it possible to raise a question as to whether the alleged corruption of youth1 with which ,socrates was charged1 may not have had a different implication from what posterity has preferred to ascribe to it4 ,but this thought1 almost shocking to the modern mind and seeming altogether sacrilegious to most students of ,greek philosophy1 need not here detain us2 neither have we much concern in the present connection with any part of the teaching of the martyred philosopher4 ,for the historian of metaphysics1 ,socrates marks an epoch1 but for the historian of science he is a much less consequential figure4 ,similarly regarding ,plato1 the aristocratic ,athenian who sat at the feet of ,socrates1 and through whose writings the teachings of the master found widest currency4 ,some students of philosophy find in ,plato the greatest thinker and writer of all time47#a7 ,the student of science must recognize in him a thinker whose point of view was essentially non-scientific2 one who tended always to reason from the general to the particular rather than from the particular to the general4 ,plato's writings covered almost the entire field of thought1 and his ideas were presented with such literary charm that successive generations of readers turned to them with unflagging interest1 and gave them wide currency through copies that finally preserved them to our own time4 ,thus we are not obliged in his case1 as we are in the case of every other ,greek philosopher1 to estimate his teachings largely from hearsay evidence4 ,plato himself speaks to us directly4 ,it is true1 the literary form which he always adopted1 namely1 the dialogue1 does not give quite the same certainty as to when he is expressing his own opinions that a more direct narrative would have given2 yet1 in the main1 there is little doubt as to the tenor of his own opinions--except1 indeed1 such doubt as always attaches to the philosophical reasoning of the abstract thinker4 ,what is chiefly significant from our present standpoint is that the great ethical teacher had no significant message to give the world regarding the physical sciences4 ,he apparently had no sharply defined opinions as to the mechanism of the universe2 no clear conception as to the origin or development of organic beings2 no tangible ideas as to the problems of physics2 no favorite dreams as to the nature of matter4 ,virtually his back was turned on this entire field of thought4 ,he was under the sway of those innate ideas which1 as we have urged1 were among the earliest inductions of science4 ,but he never for a moment suspected such an origin for these ideas4 ,he supposed his conceptions of being1 his standards of ethics1 to lie back of all experience2 for him they were the most fundamental and most dependable of facts4 ,he criticised ,anaxagoras for having tended to deduce general laws from observation4 ,as we moderns see it1 such criticism is the highest possible praise4 ,it is a criticism that marks the distinction between the scientist who is also a philosopher and the philosopher who has but a vague notion of physical science4 ,plato seemed1 indeed1 to realize the value of scientific investigation2 he referred to the astronomical studies of the ,egyptians and ,chaldeans1 and spoke hopefully of the results that might accrue were such studies to be taken up by that ,greek mind which1 as he justly conceived1 had the power to vitalize and enrich all that it touched4 ,but he told here of what he would have others do1 not of what he himself thought of doing4 ,his voice was prophetic1 but it stimulated no worker of his own time4 ,plato himself had travelled widely4 ,it is a familiar legend that he lived for years in ,egypt1 endeavoring there to penetrate the mysteries of ,egyptian science4 ,it is said even that the rudiments of geometry which he acquired there influenced all his later teachings4 ,but be that as it may1 the historian of science must recognize in the founder of the ,academy a moral teacher and metaphysical dreamer and sociologist1 but not1 in the modern acceptance of the term1 a scientist4 ,those wider phases of biological science which find their expression in metaphysics1 in ethics1 in political economy1 lie without our present scope2 and for the development of those subjects with which we are more directly concerned1 ,plato1 like his master1 has a negative significance4 ,,aristotle 7#chd-cbb ,b4,c47 ,when we pass to that third great ,athenian teacher1 ,aristotle1 the case is far different4 ,here was a man whose name was to be received as almost a synonym for ,greek science for more than a thousand years after his death4 ,all through the ,middle ,ages his writings were to be accepted as virtually the last word regarding the problems of nature4 ,we shall see that his followers actually preferred his mandate to the testimony of their own senses4 ,we shall see1 further1 that modern science progressed somewhat in proportion as it overthrew the ,aristotelian dogmas4 ,but the traditions of seventeen or eighteen centuries are not easily set aside1 and it is perhaps not too much to say that the name of ,aristotle stands1 even in our own time1 as vaguely representative in the popular mind of all that was highest and best in the science of antiquity4 ,yet1 perhaps1 it would not be going too far to assert that something like a reversal of this judgment would be nearer the truth4 ,aristotle did1 indeed1 bring together a great mass of facts regarding animals in his work on natural history1 which1 being preserved1 has been deemed to entitle its author to be called the father of zoology4 ,but there is no reason to suppose that any considerable portion of this work contained matter that was novel1 or recorded observations that were original with ,aristotle2 and the classifications there outlined are at best but a vague foreshadowing of the elaboration of the science4 ,such as it is1 however1 the natural history stands to the credit of the ,stagirite4 ,he must be credited1 too1 with a clear enunciation of one most important scientific doctrine--namely1 the doctrine of the spherical figure of the earth4 ,we have already seen that this theory originated with the ,pythagorean philosophers out in ,italy4 ,we have seen1 too1 that the doctrine had not made its way in ,attica in the time of ,anaxagoras4 ,but in the intervening century it had gained wide currency1 else so essentially conservative a thinker as ,aristotle would scarcely have accepted it4 ,he did accept it1 however1 and gave the doctrine clearest and most precise expression4 ,here are his words37#b7 ,as to the figure of the earth it must necessarily be spherical4444 ,if it were not so1 the eclipses of the moon would not have such sections as they have4 ,for in the configurations in the course of a month the deficient part takes all different shapes2 it is straight1 and concave1 and convex2 but in eclipses it always has the line of divisions convex2 wherefore1 since the moon is eclipsed in consequence of the interposition of the earth1 the periphery of the earth must be the cause of this by having a spherical form4 ,and again1 from the appearance of the stars it is clear1 not only that the earth is round1 but that its size is not very large2 for when we make a small removal to the south or the north1 the circle of the horizon becomes palpably different1 so that the stars overhead undergo a great change1 and are not the same to those that travel in the north and to the south4 ,for some stars are seen in ,egypt or at ,cyprus1 but are not seen in the countries to the north of these2 and the stars that in the north are visible while they make a complete circuit1 there undergo a setting4 ,so that from this it is manifest1 not only that the form of the earth is round1 but also that it is a part of a not very large sphere2 for otherwise the difference would not be so obvious to persons making so small a change of place4 ,wherefore we may judge that those persons who connect the region in the neighborhood of the pillars of ,hercules with that towards ,india1 and who assert that in this way the sea is one1 do not assert things very improbable4 ,they confirm this conjecture moreover by the elephants1 which are said to be of the same species towards each extreme2 as if this circumstance was a consequence of the conjunction of the extremes4 ,the mathematicians who try to calculate the measure of the circumference1 make it amount to four hundred thousand stadia2 whence we collect that the earth is not only spherical1 but is not large compared with the magnitude of the other stars4 ,but in giving full meed of praise to ,aristotle for the promulgation of this doctrine of the sphericity of the earth1 it must unfortunately be added that the conservative philosopher paused without taking one other important step4 ,he could not accept1 but1 on the contrary1 he expressly repudiated1 the doctrine of the earth's motion4 ,we have seen that this idea also was a part of the ,pythagorean doctrine1 and we shall have occasion to dwell more at length on this point in a succeeding chapter4 ,it has even been contended by some critics that it was the adverse conviction of the ,peripatetic philosopher which1 more than any other single influence1 tended to retard the progress of the true doctrine regarding the mechanism of the heavens4 ,aristotle accepted the sphericity of the earth1 and that doctrine became a commonplace of scientific knowledge1 and so continued throughout classical antiquity4 ,but ,aristotle rejected the doctrine of the earth's motion1 and that doctrine1 though promulgated actively by a few contemporaries and immediate successors of the ,stagirite1 was then doomed to sink out of view for more than a thousand years4 ,if it be a correct assumption that the influence of ,aristotle was1 in a large measure1 responsible for this result1 then we shall perhaps not be far astray in assuming that the great founder of the ,peripatetic school was1 on the whole1 more instrumental in retarding the progress of astronomical science that any other one man that ever lived4 ,the field of science in which ,aristotle was pre-eminently a pathfinder is zoology4 ,his writings on natural history have largely been preserved1 and they constitute by far the most important contribution to the subject that has come down to us from antiquity4 ,they show us that ,aristotle had gained possession of the widest range of facts regarding the animal kingdom1 and1 what is far more important1 had attempted to classify these facts4 ,in so doing he became the founder of systematic zoology4 ,aristotle's classification of the animal kingdom was known and studied throughout the ,middle ,ages1 and1 in fact1 remained in vogue until superseded by that of ,cuvier in the nineteenth century4 ,it is not to be supposed that all the terms of ,aristotle's classification originated with him4 ,some of the divisions are too patent to have escaped the observation of his predecessors4 ,thus1 for example1 the distinction between birds and fishes as separate classes of animals is so obvious that it must appeal to a child or to a savage4 ,but the efforts of ,aristotle extended1 as we shall see1 to less patent generalizations4 ,at the very outset1 his grand division of the animal kingdom into blood-bearing and bloodless animals implies a very broad and philosophical conception of the entire animal kingdom4 ,the modern physiologist does not accept the classification1 inasmuch as it is now known that colorless fluids perform the functions of blood for all the lower organisms4 ,but the fact remains that ,aristotle's grand divisions correspond to the grand divisions of the ,lamarckian system--vertebrates and invertebrates--which every one now accepts4 ,aristotle1 as we have said1 based his classification upon observation of the blood2 ,lamarck was guided by a study of the skeleton4 ,the fact that such diverse points of view could direct the observer towards the same result gives1 inferentially1 a suggestive lesson in what the modern physiologist calls the homologies of parts of the organism4 ,aristotle divides his so-called blood-bearing animals into five classes3 7#a7 ,four-footed animals that bring forth their young alive2 7#b7 birds2 7#c7 egg-laying four-footed animals 7including what modern naturalists call reptiles and amphibians72 7#d7 whales and their allies2 7#e7 fishes4 ,this classification1 as will be observed1 is not so very far afield from the modern divisions into mammals1 birds1 reptiles1 amphibians1 and fishes4 ,that ,aristotle should have recognized the fundamental distinction between fishes and the fish-like whales1 dolphins1 and porpoises proves the far from superficial character of his studies4 ,aristotle knew that these animals breathe by means of lungs and that they produce living young4 ,he recognized1 therefore1 their affinity with his first class of animals1 even if he did not1 like the modern naturalist1 consider these affinities close enough to justify bringing the two types together into a single class4 ,the bloodless animals were also divided by ,aristotle into five classes--namely3 7#a7 ,cephalopoda 7the octopus1 cuttle-fish1 etc472 7#b7 weak-shelled animals 7crabs1 etc472 7#c7 insects and their allies 7including various forms1 such as spiders and centipedes1 which the modern classifier prefers to place by themselves72 7#d7 hard-shelled animals 7clams1 oysters1 snails1 etc472 7#e7 a conglomerate group of marine forms1 including star-fish1 sea-urchins1 and various anomalous forms that were regarded as linking the animal to the vegetable worlds4 ,this classification of the lower forms of animal life continued in vogue until ,cuvier substituted for it his famous grouping into articulates1 mollusks1 and radiates2 which grouping in turn was in part superseded later in the nineteenth century4 ,what ,aristotle did for the animal kingdom his pupil1 ,theophrastus1 did in some measure for the vegetable kingdom4 ,theophrastus1 however1 was much less a classifier than his master1 and his work on botany1 called ,the ,natural ,history of ,development1 pays comparatively slight attention to theoretical questions4 ,it deals largely with such practicalities as the making of charcoal1 of pitch1 and of resin1 and the effects of various plants on the animal organism when taken as foods or as medicines4 ,in this regard the work of ,theophrastus1 is more nearly akin to the natural history of the famous ,roman compiler1 ,pliny4 ,it remained1 however1 throughout antiquity as the most important work on its subject1 and it entitles ,theophrastus to be called the father of botany4 ,theophrastus deals also with the mineral kingdom after much the same fashion1 and here again his work is the most notable that was produced in antiquity4 ,,ix4 ,,greek ,,science ,,of ,,the ,,alexandrian ,,or ,,hellenistic ,,period ,we are entering now upon the most important scientific epoch of antiquity4 ,when ,aristotle and ,theophrastus passed from the scene1 ,athens ceased to be in any sense the scientific centre of the world4 ,that city still retained its reminiscent glory1 and cannot be ignored in the history of culture1 but no great scientific leader was ever again to be born or to take up his permanent abode within the confines of ,greece proper4 ,with almost cataclysmic suddenness1 a new intellectual centre appeared on the south shore of the ,mediterranean4 ,this was the city of ,alexandria1 a city which ,alexander the ,great had founded during his brief visit to ,egypt1 and which became the capital of ,ptolemy ,soter when he chose ,egypt as his portion of the dismembered empire of the great ,macedonian4 ,ptolemy had been with his master in the ,east1 and was with him in ,babylonia when he died4 ,he had therefore come personally in contact with ,babylonian civilization1 and we cannot doubt that this had a most important influence upon his life1 and through him upon the new civilization of the ,west4 ,in point of culture1 ,alexandria must be regarded as the successor of ,babylon1 scarcely less directly than of ,greece4 ,following the ,babylonian model1 ,ptolemy erected a great museum and began collecting a library4 ,before his death it was said that he had collected no fewer than two hundred thousand manuscripts4 ,he had gathered also a company of great teachers and founded a school of science which1 as has just been said1 made ,alexandria the culture-centre of the world4 ,athens in the day of her prime had known nothing quite like this4 ,such private citizens as ,aristotle are known to have had libraries1 but there were no great public collections of books in ,athens1 or in any other part of the ,greek domain1 until ,ptolemy founded his famous library4 ,as is well known1 such libraries had existed in ,babylonia for thousands of years4 ,the character which the ,ptolemaic epoch took on was no doubt due to ,babylonian influence1 but quite as much to the personal experience of ,ptolemy himself as an explorer in the ,far ,east4 ,the marvellous conquering journey of ,alexander had enormously widened the horizon of the ,greek geographer1 and stimulated the imagination of all ranks of the people1 ,it was but natural1 then1 that geography and its parent science astronomy should occupy the attention of the best minds in this succeeding epoch4 ,in point of fact1 such a company of star-gazers and earth-measurers came upon the scene in this third century ,b4,c4 as had never before existed anywhere in the world4 ,the whole trend of the time was towards mechanics4 ,it was as if the greatest thinkers had squarely faced about from the attitude of the mystical philosophers of the preceding century1 and had set themselves the task of solving all the mechanical riddles of the universe1 ,they no longer troubled themselves about problems of being and becoming2 they gave but little heed to metaphysical subtleties2 they demanded that their thoughts should be gauged by objective realities4 ,hence there arose a succession of great geometers1 and their conceptions were applied to the construction of new mechanical contrivances on the one hand1 and to the elaboration of theories of sidereal mechanics on the other4 ,the wonderful company of men who performed the feats that are about to be recorded did not all find their home in ,alexandria1 to be sure2 but they all came more or less under the ,alexandrian influence4 ,we shall see that there are two other important centres2 one out in ,sicily1 almost at the confines of the ,greek territory in the west2 the other in ,asia ,minor1 notably on the island of ,samos--the island which1 it will be recalled1 was at an earlier day the birthplace of ,pythagoras4 ,but whereas in the previous century colonists from the confines of the civilized world came to ,athens1 now all eyes turned towards ,alexandria1 and so improved were the facilities for communication that no doubt the discoveries of one coterie of workers were known to all the others much more quickly than had ever been possible before4 ,we learn1 for example1 that the studies of ,aristarchus of ,samos were definitely known to ,archimedes of ,syracuse1 out in ,sicily4 ,indeed1 as we shall see1 it is through a chance reference preserved in one of the writings of ,archimedes that one of the most important speculations of ,aristarchus is made known to us4 ,this illustrates sufficiently the intercommunication through which the thought of the ,alexandrian epoch was brought into a single channel4 ,we no longer1 as in the day of the earlier schools of ,greek philosophy1 have isolated groups of thinkers4 ,the scientific drama is now played out upon a single stage2 and if we pass1 as we shall in the present chapter1 from ,alexandria to ,syracuse and from ,syracuse to ,samos1 the shift of scenes does no violence to the dramatic unities4 ,notwithstanding the number of great workers who were not properly ,alexandrians1 none the less the epoch is with propriety termed ,alexandrian4 ,not merely in the third century ,b4,c41 but throughout the lapse of at least four succeeding centuries1 the city of ,alexander and the ,ptolemies continued to hold its place as the undisputed culture-centre of the world4 ,during that period ,rome rose to its pinnacle of glory and began to decline1 without ever challenging the intellectual supremacy of the ,egyptian city4 ,we shall see1 in a later chapter1 that the ,alexandrian influences were passed on to the ,mohammedan conquerors1 and every one is aware that when ,alexandria was finally overthrown its place was taken by another ,greek city1 ,byzantium or ,constantinople4 ,but that transfer did not occur until ,alexandria had enjoyed a longer period of supremacy as an intellectual centre than had perhaps ever before been granted to any city1 with the possible exception of ,babylon4 ,,euclid 7,,about #cjj ,b4,c47 ,our present concern is with that first wonderful development of scientific activity which began under the first ,ptolemy1 and which presents1 in the course of the first century of ,alexandrian influence1 the most remarkable coterie of scientific workers and thinkers that antiquity produced4 ,the earliest group of these new leaders in science had at its head a man whose name has been a household word ever since4 ,this was ,euclid1 the father of systematic geometry4 ,tradition has preserved to us but little of the personality of this remarkable teacher2 but1 on the other hand1 his most important work has come down to us in its entirety4 ,the ,elements of ,geometry1 with which the name of ,euclid is associated in the mind of every school-boy1 presented the chief propositions of its subject in so simple and logical a form that the work remained a textbook everywhere for more than two thousand years4 ,indeed it is only now beginning to be superseded4 ,it is not twenty years since ,english mathematicians could deplore the fact that1 despite certain rather obvious defects of the work of ,euclid1 no better textbook than this was available4 ,euclid's work1 of course1 gives expression to much knowledge that did not originate with him4 ,we have already seen that several important propositions of geometry had been developed by ,thales1 and one by ,pythagoras1 and that the rudiments of the subject were at least as old as ,egyptian civilization4 ,precisely how much ,euclid added through his own investigations cannot be ascertained4 ,it seems probable that he was a diffuser of knowledge rather than an originator1 but as a great teacher his fame is secure4 ,he is credited with an epigram which in itself might insure him perpetuity of fame3 ,there is no royal road to geometry1 was his answer to ,ptolemy when that ruler had questioned whether the ,elements might not be simplified4 ,doubtless this1 like most similar good sayings1 is apocryphal2 but whoever invented it has made the world his debtor4 ,,herophilus ,,and ,,erasistratus ,the catholicity of ,ptolemy's tastes led him1 naturally enough1 to cultivate the biological no less than the physical sciences4 ,in particular his influence permitted an epochal advance in the field of medicine4 ,two anatomists became famous through the investigations they were permitted to make under the patronage of the enlightened ruler4 ,these earliest of really scientific investigators of the mechanism of the human body were named ,herophilus and ,erasistratus4 ,these two anatomists gained their knowledge by the dissection of human bodies 7theirs are the first records that we have of such practices71 and ,king ,ptolemy himself is said to have been present at some of these dissections4 ,they were the first to discover that the nerve-trunks have their origin in the brain and spinal cord1 and they are credited also with the discovery that these nerve-trunks are of two different kinds--one to convey motor1 and the other sensory impulses4 ,they discovered1 described1 and named the coverings of the brain4 ,the name of ,herophilus is still applied by anatomists1 in honor of the discoverer1 to one of the sinuses or large canals that convey the venous blood from the head4 ,herophilus also noticed and described four cavities or ventricles in the brain1 and reached the conclusion that one of these ventricles was the seat of the soul--a belief shared until comparatively recent times by many physiologists4 ,he made also a careful and fairly accurate study of the anatomy of the eye1 a greatly improved the old operation for cataract4 ,with the increased knowledge of anatomy came also corresponding advances in surgery1 and many experimental operations are said to have been performed upon condemned criminals who were handed over to the surgeons by the ,ptolemies4 ,while many modern writers have attempted to discredit these assertions1 it is not improbable that such operations were performed4 ,in an age when human life was held so cheap1 and among a people accustomed to torturing condemned prisoners for comparatively slight offences1 it is not unlikely that the surgeons were allowed to inflict perhaps less painful tortures in the cause of science4 ,furthermore1 we know that condemned criminals were sometimes handed over to the medical profession to be operated upon and killed in whatever way they thought best even as late as the sixteenth century4 ,tertullian7#a7 probably exaggerates1 however1 when he puts the number of such victims in ,alexandria at six hundred4 ,had ,herophilus and ,erasistratus been as happy in their deductions as to the functions of the organs as they were in their knowledge of anatomy1 the science of medicine would have been placed upon a very high plane even in their time4 ,unfortunately1 however1 they not only drew erroneous inferences as to the functions of the organs1 but also disagreed radically as to what functions certain organs performed1 and how diseases should be treated1 even when agreeing perfectly on the subject of anatomy itself4 ,their contribution to the knowledge of the scientific treatment of diseases holds no such place1 therefore1 as their anatomical investigations4 ,half a century after the time of ,herophilus there appeared a ,greek physician1 ,heraclides1 whose reputation in the use of drugs far surpasses that of the anatomists of the ,alexandrian school4 ,his reputation has been handed down through the centuries as that of a physician1 rather than a surgeon1 although in his own time he was considered one of the great surgeons of the period4 ,heraclides belonged to the ,empiric school1 which rejected anatomy as useless1 depending entirely on the use of drugs4 ,he is thought to have been the first physician to point out the value of opium in certain painful diseases4 ,his prescription of this drug for certain cases of sleeplessness1 spasm1 cholera1 and colic1 shows that his use of it was not unlike that of the modern physician in certain cases2 and his treatment of fevers1 by keeping the patient's head cool and facilitating the secretions of the body1 is still recognized as good practice4 ,he advocated a free use of liquids in quenching the fever patient's thirst--a recognized therapeutic measure to-day1 but one that was widely condemned a century ago4 ,,archimedes ,,of ,,syracuse ,,and ,,the ,,foundation ,,of ,,mechanics ,we do not know just when ,euclid died1 but as he was at the height of his fame in the time of ,ptolemy ,i41 whose reign ended in the year #bhe ,b4,c41 it is hardly probable that he was still living when a young man named ,archimedes came to ,alexandria to study4 ,archimedes was born in the ,greek colony of ,syracuse1 on the island of ,sicily1 in the year #bhg ,b4,c4 ,when he visited ,alexandria he probably found ,apollonius of ,perga1 the pupil of ,euclid1 at the head of the mathematical school there4 ,just how long ,archimedes remained at ,alexandria is not known4 ,when he had satisfied his curiosity or completed his studies1 he returned to ,syracuse and spent his life there1 chiefly under the patronage of ,king ,hiero1 who seems fully to have appreciated his abilities4 ,archimedes was primarily a mathematician4 ,left to his own devices1 he would probably have devoted his entire time to the study of geometrical problems4 ,but ,king ,hiero had discovered that his protege had wonderful mechanical ingenuity1 and he made good use of this discovery4 ,under stress of the king's urgings1 the philosopher was led to invent a great variety of mechanical contrivances1 some of them most curious ones4 ,antiquity credited him with the invention of more than forty machines1 and it is these1 rather than his purely mathematical discoveries1 that gave his name popular vogue both among his contemporaries and with posterity4 ,every one has heard of the screw of ,archimedes1 through which the paradoxical effect was produced of making water seem to flow up hill4 ,the best idea of this curious mechanism is obtained if one will take in hand an ordinary corkscrew1 and imagine this instrument to be changed into a hollow tube1 retaining precisely the same shape but increased to some feet in length and to a proportionate diameter4 ,if one will hold the corkscrew in a slanting direction and turn it slowly to the right1 supposing that the point dips up a portion of water each time it revolves1 one can in imagination follow the flow of that portion of water from spiral to spiral1 the water always running downward1 of course1 yet paradoxically being lifted higher and higher towards the base of the corkscrew1 until finally it pours out 7in the actual ,archimedes' tube7 at the top4 ,there is another form of the screw in which a revolving spiral blade operates within a cylinder1 but the principle is precisely the same4 ,with either form water may be lifted1 by the mere turning of the screw1 to any desired height4 ,the ingenious mechanism excited the wonder of the contemporaries of ,archimedes1 as well it might4 ,more efficient devices have superseded it in modern times1 but it still excites the admiration of all who examine it1 and its effects seem as paradoxical as ever4 ,some other of the mechanisms of ,archimedes have been made known to successive generations of readers through the pages of ,polybius and ,plutarch4 ,these are the devices through which ,archimedes aided ,king ,hiero to ward off the attacks of the ,roman general ,marcellus1 who in the course of the second ,punic war laid siege to ,syracuse4 ,plutarch1 in his life of ,marcellus1 describes the ,roman's attack and ,archimedes' defence in much detail4 ,incidentally he tells us also how ,archimedes came to make the devices that rendered the siege so famous3 ,marcellus himself1 with threescore galleys of five rowers at every bank1 well armed and full of all sorts of artillery and fireworks1 did assault by sea1 and rowed hard to the wall1 having made a great engine and device of battery1 upon eight galleys chained together1 to batter the wall3 trusting in the great multitude of his engines of battery1 and to all such other necessary provision as he had for wars1 as also in his own reputation4 ,but ,archimedes made light account of all his devices1 as indeed they were nothing comparable to the engines himself had invented4 ,this inventive art to frame instruments and engines 7which are called mechanical1 or organical1 so highly commended and esteemed of all sorts of people7 was first set forth by ,architas1 and by ,eudoxus3 partly to beautify a little the science of geometry by this fineness1 and partly to prove and confirm by material examples and sensible instruments1 certain geometrical conclusions1 where of a man cannot find out the conceivable demonstrations by enforced reasons and proofs4 ,as that conclusion which instructeth one to search out two lines mean proportional1 which cannot be proved by reason demonstrative1 and yet notwithstanding is a principle and an accepted ground for many things which are contained in the art of portraiture4 ,both of them have fashioned it to the workmanship of certain instruments1 called mesolabes or mesographs1 which serve to find these mean lines proportional1 by drawing certain curve lines1 and overthwart and oblique sections4 ,but after that ,plato was offended with them1 and maintained against them1 that they did utterly corrupt and disgrace1 the worthiness and excellence of geometry1 making it to descend from things not comprehensible and without body1 unto things sensible and material1 and to bring it to a palpable substance1 where the vile and base handiwork of man is to be employed3 since that time1 ,i say1 handicraft1 or the art of engines1 came to be separated from geometry1 and being long time despised by the philosophers1 it came to be one of the warlike arts4 ,but ,archimedes having told ,king ,hiero1 his kinsman and friend1 that it was possible to remove as great a weight as he would1 with as little strength as he listed to put to it3 and boasting himself thus 7as they report of him7 and trusting to the force of his reasons1 wherewith he proved this conclusion1 that if there were another globe of earth1 he was able to remove this of ours1 and pass it over to the other3 ,king ,hiero wondering to hear him1 required him to put his device in execution1 and to make him see by experience1 some great or heavy weight removed1 by little force4 ,so ,archimedes caught hold with a book of one of the greatest carects1 or hulks of the king 7that to draw it to the shore out of the water required a marvellous number of people to go about it1 and was hardly to be done so7 and put a great number of men more into her1 than her ordinary burden3 and he himself sitting alone at his ease far off1 without any straining at all1 drawing the end of an engine with many wheels and pulleys1 fair and softly with his hand1 made it come as gently and smoothly to him1 as it had floated in the sea4 ,the king wondering to see the sight1 and knowing by proof the greatness of his art2 be prayed him to make him some engines1 both to assault and defend1 in all manner of sieges and assaults4 ,so ,archimedes made him many engines1 but ,king ,hiero never occupied any of them1 because he reigned the most part of his time in peace without any wars4 ,but this provision and munition of engines1 served the ,syracusan's turn marvellously at that time3 and not only the provision of the engines ready made1 but also the engineer and work-master himself1 that had invented them4 ,now the ,syracusans1 seeing themselves assaulted by the ,romans1 both by sea and by land1 were marvellously perplexed1 and could not tell what to say1 they were so afraid3 imagining it was impossible for them to withstand so great an army4 ,but when ,archimedes fell to handling his engines1 and to set them at liberty1 there flew in the air infinite kinds of shot1 and marvellous great stones1 with an incredible noise and force on the sudden1 upon the footmen that came to assault the city by land1 bearing down1 and tearing in pieces all those which came against them1 or in what place soever they lighted1 no earthly body being able to resist the violence of so heavy a weight3 so that all their ranks were marvellously disordered4 ,and as for the galleys that gave assault by sea1 some were sunk with long pieces of timber like unto the yards of ships1 whereto they fasten their sails1 which were suddenly blown over the walls with force of their engines into their galleys1 and so sunk them by their over great weight4 ,polybius describes what was perhaps the most important of these contrivances1 which was1 he tells us1 a band of iron1 hanging by a chain from the beak of a machine1 which was used in the following manner4 ,the person who1 like a pilot1 guided the beak1 having let fall the hand1 and catched hold of the prow of any vessel1 drew down the opposite end of the machine that was on the inside of the walls4 ,and when the vessel was thus raised erect upon its stem1 the machine itself was held immovable2 but1 the chain being suddenly loosened from the beak by the means of pulleys1 some of the vessels were thrown upon their sides1 others turned with the bottom upwards2 and the greatest part1 as the prows were plunged from a considerable height into the sea1 were filled with water1 and all that were on board thrown into tumult and disorder4 ,marcellus was in no small degree embarrassed1 ,polybius continues1 when he found himself encountered in every attempt by such resistance4 ,he perceived that all his efforts were defeated with loss2 and were even derided by the enemy4 ,but1 amidst all the anxiety that he suffered1 he could not help jesting upon the inventions of ,archimedes4 ,this man1 said he1 employs our ships as buckets to draw water3 and boxing about our sackbuts1 as if they were unworthy to be associated with him1 drives them from his company with disgrace4 ,such was the success of the siege on the side of the sea4 ,subsequently1 however1 ,marcellus took the city by strategy1 and ,archimedes was killed1 contrary1 it is said1 to the express orders of ,marcellus4 ,syracuse being taken1 says ,plutarch1 nothing grieved ,marcellus more than the loss of ,archimedes4 ,who1 being in his study when the city was taken1 busily seeking out by himself the demonstration of some geometrical proposition which he had drawn in figure1 and so earnestly occupied therein1 as he neither saw nor heard any noise of enemies that ran up and down the city1 and much less knew it was taken3 he wondered when he saw a soldier by him1 that bade him go with him to ,marcellus4 ,notwithstanding1 he spake to the soldier1 and bade him tarry until he had done his conclusion1 and brought it to demonstration3 but the soldier being angry with his answer1 drew out his sword and killed him4 ,others say1 that the ,roman soldier when he came1 offered the sword's point to him1 to kill him3 and that ,archimedes when he saw him1 prayed him to hold his hand a little1 that he might not leave the matter he looked for imperfect1 without demonstration4 ,but the soldier making no reckoning of his speculation1 killed him presently4 ,it is reported a third way also1 saying that certain soldiers met him in the streets going to ,marcellus1 carrying certain mathematical instruments in a little pretty coffer1 as dials for the sun1 spheres1 and angles1 wherewith they measure the greatness of the body of the sun by view3 and they supposing he had carried some gold or silver1 or other precious jewels in that little coffer1 slew him for it4 ,but it is most certain that ,marcellus was marvellously sorry for his death1 and ever after hated the villain that slew him1 as a cursed and execrable person3 and how he had made also marvellous much afterwards of ,archimedes' kinsmen for his sake4 ,we are further indebted to ,plutarch for a summary of the character and influence of ,archimedes1 and for an interesting suggestion as to the estimate which the great philosopher put upon the relative importance of his own discoveries4 ,notwithstanding ,archimedes had such a great mind1 and was so profoundly learned1 having hidden in him the only treasure and secrets of geometrical inventions3 as he would never set forth any book how to make all these warlike engines1 which won him at that time the fame and glory1 not of man's knowledge1 but rather of divine wisdom4 ,but he esteeming all kind of handicraft and invention to make engines1 and generally all manner of sciences bringing common commodity by the use of them1 to be but vile1 beggarly1 and mercenary dross3 employed his wit and study only to write things1 the beauty and subtlety whereof were not mingled anything at all with necessity4 ,for all that he hath written1 are geometrical propositions1 which are without comparison of any other writings whatsoever3 because the subject where of they treat1 doth appear by demonstration1 the maker gives them the grace and the greatness1 and the demonstration proving it so exquisitely1 with wonderful reason and facility1 as it is not repugnable4 ,for in all geometry are not to be found more profound and difficult matters written1 in more plain and simple terms1 and by more easy principles1 than those which he hath invented4 ,now some do impute this1 to the sharpness of his wit and understanding1 which was a natural gift in him3 others do refer it to the extreme pains he took1 which made these things come so easily from him1 that they seemed as if they had been no trouble to him at all4 ,for no man living of himself can devise the demonstration of his propositions1 what pains soever he take to seek it3 and yet straight so soon as he cometh to declare and open it1 every man then imagineth with himself he could have found it out well enough1 he can then so plainly make demonstration of the thing he meaneth to show4 ,and therefore that methinks is likely to be true1 which they write of him3 that he was so ravished and drunk with the sweet enticements of this siren1 which as it were lay continually with him1 as he forgot his meat and drink1 and was careless otherwise of himself1 that oftentimes his servants got him against his will to the baths to wash and anoint him3 and yet being there1 he would ever be drawing out of the geometrical figures1 even in the very imbers of the chimney4 ,and while they were anointing of him with oils and sweet savours1 with his finger he did draw lines upon his naked body3 so far was he taken from himself1 and brought into an ecstasy or trance1 with the delight he had in the study of geometry1 and truly ravished with the love of the ,muses4 ,but amongst many notable things he devised1 it appeareth1 that he most esteemed the demonstration of the proportion between the cylinder 7to wit1 the round column7 and the sphere or globe contained in the same3 for he prayed his kinsmen and friends1 that after his death they would put a cylinder upon his tomb1 containing a massy sphere1 with an inscription of the proportion1 whereof the continent exceedeth the thing contained47#b7 ,it should be observed that neither ,polybius nor ,plutarch mentions the use of burning-glasses in connection with the siege of ,syracuse1 nor indeed are these referred to by any other ancient writer of authority4 ,nevertheless1 a story gained credence down to a late day to the effect that ,archimedes had set fire to the fleet of the enemy with the aid of concave mirrors4 ,an experiment was made by ,sir ,isaac ,newton to show the possibility of a phenomenon so well in accord with the genius of ,archimedes1 but the silence of all the early authorities makes it more than doubtful whether any such expedient was really adopted4 ,it will be observed that the chief principle involved in all these mechanisms was a capacity to transmit great power through levers and pulleys1 and this brings us to the most important field of the ,syracusan philosopher's activity4 ,it was as a student of the lever and the pulley that ,archimedes was led to some of his greatest mechanical discoveries4 ,he is even credited with being the discoverer of the compound pulley4 ,more likely he was its developer only1 since the principle of the pulley was known to the old ,babylonians1 as their sculptures testify4 ,but there is no reason to doubt the general outlines of the story that ,archimedes astounded ,king ,hiero by proving that1 with the aid of multiple pulleys1 the strength of one man could suffice to drag the largest ship from its moorings4 ,the property of the lever1 from its fundamental principle1 was studied by him1 beginning with the self-evident fact that equal bodies at the ends of the equal arms of a rod1 supported on its middle point1 will balance each other2 or1 what amounts to the same thing stated in another way1 a regular cylinder of uniform matter will balance at its middle point4 ,from this starting-point he elaborated the subject on such clear and satisfactory principles that they stand to-day practically unchanged and with few additions4 ,from all his studies and experiments he finally formulated the principle that bodies will be in equilibrio when their distance from the fulcrum or point of support is inversely as their weight4 ,he is credited with having summed up his estimate of the capabilities of the lever with the well-known expression1 ,give me a fulcrum on which to rest or a place on which to stand1 and ,i will move the earth4 ,but perhaps the feat of all others that most appealed to the imagination of his contemporaries1 and possibly also the one that had the greatest bearing upon the position of ,archimedes as a scientific discoverer1 was the one made familiar through the tale of the crown of ,hiero4 ,this crown1 so the story goes1 was supposed to be made of solid gold1 but ,king ,hiero for some reason suspected the honesty of the jeweller1 and desired to know if ,archimedes could devise a way of testing the question without injuring the crown4 ,greek imagination seldom spoiled a story in the telling1 and in this case the tale was allowed to take on the most picturesque of phases4 ,the philosopher1 we are assured1 pondered the problem for a long time without succeeding1 but one day as he stepped into a bath1 his attention was attracted by the overflow of water4 ,a new train of ideas was started in his ever-receptive brain4 ,wild with enthusiasm he sprang from the bath1 and1 forgetting his robe1 dashed along the streets of ,syracuse1 shouting3 ,eureka6 ,eureka6 7,i have found it67 ,the thought that had come into his mind was this3 ,that any heavy substance must have a bulk proportionate to its weight2 that gold and silver differ in weight1 bulk for bulk1 and that the way to test the bulk of such an irregular object as a crown was to immerse it in water4 ,the experiment was made4 ,a lump of pure gold of the weight of the crown was immersed in a certain receptacle filled with water1 and the overflow noted4 ,then a lump of pure silver of the same weight was similarly immersed2 lastly the crown itself was immersed1 and of course--for the story must not lack its dramatic sequel--was found bulkier than its weight of pure gold4 ,thus the genius that could balk warriors and armies could also foil the wiles of the silversmith4 ,whatever the truth of this picturesque narrative1 the fact remains that some1 such experiments as these must have paved the way for perhaps the greatest of all the studies of ,archimedes--those that relate to the buoyancy of water4 ,leaving the field of fable1 we must now examine these with some precision4 ,fortunately1 the writings of ,archimedes himself are still extant1 in which the results of his remarkable experiments are related1 so we may present the results in the words of the discoverer4 ,here they are3 ,first3 ,the surface of every coherent liquid in a state of rest is spherical1 and the centre of the sphere coincides with the centre of the earth4 ,second3 ,a solid body which1 bulk for bulk1 is of the same weight as a liquid1 if immersed in the liquid will sink so that the surface of the body is even with the surface of the liquid1 but will not sink deeper4 ,third3 ,any solid body which is lighter1 bulk for bulk1 than a liquid1 if placed in the liquid will sink so deep as to displace the mass of liquid equal in weight to another body4 ,fourth3 ,if a body which is lighter than a liquid is forcibly immersed in the liquid1 it will be pressed upward with a force corresponding to the weight of a like volume of water1 less the weight of the body itself4 ,fifth3 ,solid bodies which1 bulk for bulk1 are heavier than a liquid1 when immersed in the liquid sink to the bottom1 but become in the liquid as much lighter as the weight of the displaced water itself differs from the weight of the solid4 ,these propositions are not difficult to demonstrate1 once they are conceived1 but their discovery1 combined with the discovery of the laws of statics already referred to1 may justly be considered as proving ,archimedes the most inventive experimenter of antiquity4 ,curiously enough1 the discovery which ,archimedes himself is said to have considered the most important of all his innovations is one that seems much less striking4 ,it is the answer to the question1 ,what is the relation in bulk between a sphere and its circumscribing cylinder8 ,archimedes finds that the ratio is simply two to three4 ,we are not informed as to how he reached his conclusion1 but an obvious method would be to immerse a ball in a cylindrical cup4 ,the experiment is one which any one can make for himself1 with approximate accuracy1 with the aid of a tumbler and a solid rubber ball or a billiard-ball of just the right size4 ,another geometrical problem which ,archimedes solved was the problem as to the size of a triangle which has equal area with a circle2 the answer being1 a triangle having for its base the circumference of the circle and for its altitude the radius4 ,archimedes solved also the problem of the relation of the diameter of the circle to its circumference2 his answer being a close approximation to the familiar #c4adaf1 which every tyro in geometry will recall as the equivalent of pi4 ,numerous other of the studies of ,archimedes having reference to conic sections1 properties of curves and spirals1 and the like1 are too technical to be detailed here4 ,the extent of his mathematical knowledge1 however1 is suggested by the fact that he computed in great detail the number of grains of sand that would be required to cover the sphere of the sun's orbit1 making certain hypothetical assumptions as to the size of the earth and the distance of the sun for the purposes of argument4 ,mathematicians find his computation peculiarly interesting because it evidences a crude conception of the idea of logarithms4 ,from our present stand-point1 the paper in which this calculation is contained has considerable interest because of its assumptions as to celestial mechanics4 ,thus ,archimedes starts out with the preliminary assumption that the circumference of the earth is less than three million stadia4 ,it must be understood that this assumption is purely for the sake of argument4 ,archimedes expressly states that he takes this number because it is ten times as large as the earth has been supposed to be by certain investigators4 ,here1 perhaps1 the reference is to ,eratosthenes1 whose measurement of the earth we shall have occasion to revert to in a moment4 ,continuing1 ,archimedes asserts that the sun is larger than the earth1 and the earth larger than the moon4 ,in this assumption1 he says1 he is following the opinion of the majority of astronomers4 ,in the third place1 ,archimedes assumes that the diameter of the sun is not more than thirty times greater than that of the moon4 ,here he is probably basing his argument upon another set of measurements of ,aristarchus1 to which1 also1 we shall presently refer more at length4 ,in reality1 his assumption is very far from the truth1 since the actual diameter of the sun1 as we now know1 is something like four hundred times that of the moon4 ,fourth1 the circumference of the sun is greater than one side of the thousand-faced figure inscribed in its orbit4 ,the measurement1 it is expressly stated1 is based on the measurements of ,aristarchus1 who makes the diameter of the sun #a_/agj of its orbit4 ,archimedes adds1 however1 that he himself has measured the angle and that it appears to him to be less than #a_/afd1 and greater than #a_/bjj part of the orbit4 ,that is to say1 reduced to modern terminology1 he places the limit of the sun's apparent size between thirty-three minutes and twenty-seven minutes of arc4 ,as the real diameter is thirty-two minutes1 this calculation is surprisingly exact1 considering the implements then at command4 ,but the honor of first making it must be given to ,aristarchus and not to ,archimedes4 ,we need not follow ,archimedes to the limits of his incomprehensible numbers of sand-grains4 ,the calculation is chiefly remarkable because it was made before the introduction of the so-called ,arabic numerals had simplified mathematical calculations4 ,it will be recalled that the ,greeks used letters for numerals1 and1 having no cipher1 they soon found themselves in difficulties when large numbers were involved4 ,the ,roman system of numerals simplified the matter somewhat1 but the beautiful simplicity of the decimal system did not come into vogue until the ,middle ,ages1 as we shall see4 ,notwithstanding the difficulties1 however1 ,archimedes followed out his calculations to the piling up of bewildering numbers1 which the modern mathematician finds to be the consistent outcome of the problem he had set himself4 ,but it remains to notice the most interesting feature of this document in which the calculation of the sand-grains is contained4 ,it was known to me1 says ,archimedes1 that most astronomers understand by the expression 'world' 7universe7 a ball of which the centre is the middle point of the earth1 and of which the radius is a straight line between the centre of the earth and the sun4 ,archimedes himself appears to accept this opinion of the majority1--it at least serves as well as the contrary hypothesis for the purpose of his calculation1--but he goes on to say3 ,aristarchus of ,samos1 in his writing against the astronomers1 seeks to establish the fact that the world is really very different from this4 ,he holds the opinion that the fixed stars and the sun are immovable and that the earth revolves in a circular line about the sun1 the sun being at the centre of this circle4 ,this remarkable bit of testimony establishes beyond question the position of ,aristarchus of ,samos as the ,copernicus of antiquity4 ,we must make further inquiry as to the teachings of the man who had gained such a remarkable insight into the true system of the heavens4 ,,aristarchus ,,of ,,samos1 ,,the ,,copernicus ,,of ,,antiquity ,it appears that ,aristarchus was a contemporary of ,archimedes1 but the exact dates of his life are not known4 ,he was actively engaged in making astronomical observations in ,samos somewhat before the middle of the third century ,b4,c42 in other words1 just at the time when the activities of the ,alexandrian school were at their height4 ,hipparchus1 at a later day1 was enabled to compare his own observations with those made by ,aristarchus1 and1 as we have just seen1 his work was well known to so distant a contemporary as ,archimedes4 ,yet the facts of his life are almost a blank for us1 and of his writings only a single one has been preserved4 ,that one1 however1 is a most important and interesting paper on the measurements of the sun and the moon4 ,unfortunately1 this paper gives us no direct clew as to the opinions of ,aristarchus concerning the relative positions of the earth and sun4 ,but the testimony of ,archimedes as to this is unequivocal1 and this testimony is supported by other rumors in themselves less authoritative4 ,in contemplating this astronomer of ,samos1 then1 we are in the presence of a man who had solved in its essentials the problem of the mechanism of the solar system4 ,it appears from the words of ,archimedes that ,aristarchus2 had propounded his theory in explicit writings4 ,unquestionably1 then1 he held to it as a positive doctrine1 not as a mere vague guess4 ,we shall show1 in a moment1 on what grounds he based his opinion4 ,had his teaching found vogue1 the story of science would be very different from what it is4 ,we should then have no tale to tell of a ,copernicus coming upon the scene fully seventeen hundred years later with the revolutionary doctrine that our world is not the centre of the universe4 ,we should not have to tell of the persecution of a ,bruno or of a ,galileo for teaching this doctrine in the seventeenth century of an era which did not begin till two hundred years after the death of ,aristarchus4 ,but1 as we know1 the teaching of the astronomer of ,samos did not win its way4 ,the old conservative geocentric doctrine1 seemingly so much more in accordance with the every-day observations of mankind1 supported by the majority of astronomers with the ,peripatetic philosophers at their head1 held its place4 ,it found fresh supporters presently among the later ,alexandrians1 and so fully eclipsed the heliocentric view that we should scarcely know that view had even found an advocate were it not for here and there such a chance record as the phrases we have just quoted from ,archimedes4 ,yet1 as we now see1 the heliocentric doctrine1 which we know to be true1 had been thought out and advocated as the correct theory of celestial mechanics by at least one worker of the third century ,b4,c4 ,such an idea1 we may be sure1 did not spring into the mind of its originator except as the culmination of a long series of observations and inferences4 ,the precise character of the evolution we perhaps cannot trace1 but its broader outlines are open to our observation1 and we may not leave so important a topic without at least briefly noting them4 ,fully to understand the theory of ,aristarchus1 we must go back a century or two and recall that as long ago as the time of that other great native of ,samos1 ,pythagoras1 the conception had been reached that the earth is in motion4 ,we saw1 in dealing with ,pythagoras1 that we could not be sure as to precisely what he himself taught1 but there is no question that the idea of the world's motion became from an early day a so-called ,pythagorean doctrine4 ,while all the other philosophers1 so far as we know1 still believed that the world was flat1 the ,pythagoreans out in ,italy taught that the world is a sphere and that the apparent motions of the heavenly bodies are really due to the actual motion of the earth itself4 ,they did not1 however1 vault to the conclusion that this true motion of the earth takes place in the form of a circuit about the sun4 ,instead of that1 they conceived the central body of the universe to be a great fire1 invisible from the earth1 because the inhabited side of the terrestrial ball was turned away from it4 ,the sun1 it was held1 is but a great mirror1 which reflects the light from the central fire4 ,sun and earth alike revolve about this great fire1 each in its own orbit4 ,between the earth and the central fire there was1 curiously enough1 supposed to be an invisible earthlike body which was given the name of ,anticthon1 or counter-earth4 ,this body1 itself revolving about the central fire1 was supposed to shut off the central light now and again from the sun or from the moon1 and thus to account for certain eclipses for which the shadow of the earth did not seem responsible4 ,it was1 perhaps1 largely to account for such eclipses that the counter-earth was invented4 ,but it is supposed that there was another reason4 ,the ,pythagoreans held that there is a peculiar sacredness in the number ten4 ,just as the ,babylonians of the early day and the ,hegelian philosophers of a more recent epoch saw a sacred connection between the number seven and the number of planetary bodies1 so the ,pythagoreans thought that the universe must be arranged in accordance with the number ten4 ,their count of the heavenly bodies1 including the sphere of the fixed stars1 seemed to show nine1 and the counter-earth supplied the missing body4 ,the precise genesis and development of this idea cannot now be followed1 but that it was prevalent about the fifth century ,b4,c4 as a ,pythagorean doctrine cannot be questioned4 ,anaxagoras also is said to have taken account of the hypothetical counter-earth in his explanation of eclipses2 though1 as we have seen1 he probably did not accept that part of the doctrine which held the earth to be a sphere4 ,the names of ,philolaus and ,heraclides have been linked with certain of these ,pythagorean doctrines4 ,eudoxus1 too1 who1 like the others1 lived in ,asia ,minor in the fourth century ,b4,c41 was held to have made special studies of the heavenly spheres and perhaps to have taught that the earth moves4 ,so1 too1 ,nicetas must be named among those whom rumor credited with having taught that the world is in motion4 ,in a word1 the evidence1 so far as we can garner it from the remaining fragments1 tends to show that all along1 from the time of the early ,pythagoreans1 there had been an undercurrent of opinion in the philosophical world which questioned the fixity of the earth2 and it would seem that the school of thinkers who tended to accept the revolutionary view centred in ,asia ,minor1 not far from the early home of the founder of the ,pythagorean doctrines4 ,it was not strange1 then1 that the man who was finally to carry these new opinions to their logical conclusion should hail from ,samos4 ,but what was the support which observation could give to this new1 strange conception that the heavenly bodies do not in reality move as they seem to move1 but that their apparent motion is due to the actual revolution of the earth8 ,it is extremely difficult for any one nowadays to put himself in a mental position to answer this question4 ,we are so accustomed to conceive the solar system as we know it to be1 that we are wont to forget how very different it is from what it seems4 ,yet one needs but to glance up at the sky1 and then to glance about one at the solid earth1 to grant1 on a moment's reflection1 that the geocentric idea is of all others the most natural2 and that to conceive the sun as the actual ,centre of the solar system is an idea which must look for support to some other evidence than that which ordinary observation can give4 ,such was the view of most of the ancient philosophers1 and such continued to be the opinion of the majority of mankind long after the time of ,copernicus4 ,we must not forget that even so great an observing astronomer as ,tycho ,brahe1 so late as the seventeenth century1 declined to accept the heliocentric theory1 though admitting that all the planets except the earth revolve about the sun4 ,we shall see that before the ,alexandrian school lost its influence a geocentric scheme had been evolved which fully explained all the apparent motions of the heavenly bodies4 ,all this1 then1 makes us but wonder the more that the genius of an ,aristarchus could give precedence to scientific induction as against the seemingly clear evidence of the senses4 ,what1 then1 was the line of scientific induction that led ,aristarchus to this wonderful goal8 ,fortunately1 we are able to answer that query1 at least in part4 ,aristarchus gained his evidence through some wonderful measurements4 ,first1 he measured the disks of the sun and the moon4 ,this1 of course1 could in itself give him no clew to the distance of these bodies1 and therefore no clew as to their relative size2 but in attempting to obtain such a clew he hit upon a wonderful yet altogether simple experiment4 ,it occurred to him that when the moon is precisely dichotomized--that is to say1 precisely at the half-the line of vision from the earth to the moon must be precisely at right angles with the line of light passing from the sun to the moon4 ,at this moment1 then1 the imaginary lines joining the sun1 the moon1 and the earth1 make a right angle triangle4 ,but the properties of the right-angle triangle had long been studied and were well under stood4 ,one acute angle of such a triangle determines the figure of the triangle itself4 ,we have already seen that ,thales1 the very earliest of the ,greek philosophers1 measured the distance of a ship at sea by the application of this principle4 ,now ,aristarchus sights the sun in place of ,thales' ship1 and1 sighting the moon at the same time1 measures the angle and establishes the shape of his right-angle triangle4 ,this does not tell him the distance of the sun1 to be sure1 for he does not know the length of his base-line--that is to say1 of the line between the moon and the earth4 ,but it does establish the relation of that base-line to the other lines of the triangle2 in other words1 it tells him the distance of the sun in terms of the moon's distance4 ,as ,aristarchus strikes the angle1 it shows that the sun is eighteen times as distant as the moon4 ,now1 by comparing the apparent size of the sun with the apparent size of the moon--which1 as we have seen1 ,aristarchus has already measured--he is able to tell us that1 the sun is more than #ehcb times1 and less than #hjjj times larger than the moon2 though his measurements1 taken by themselves1 give no clew to the actual bulk of either body4 ,these conclusions1 be it understood1 are absolutely valid inferences--nay1 demonstrations--from the measurements involved1 provided only that these measurements have been correct4 ,unfortunately1 the angle of the triangle we have just seen measured is exceedingly difficult to determine with accuracy1 while at the same time1 as a moment's reflection will show1 it is so large an angle that a very slight deviation from the truth will greatly affect the distance at which its line joins the other side of the triangle4 ,then again1 it is virtually impossible to tell the precise moment when the moon is at half1 as the line it gives is not so sharp that we can fix it with absolute accuracy4 ,there is1 moreover1 another element of error due to the refraction of light by the earth's atmosphere4 ,the experiment was probably made when the sun was near the horizon1 at which time1 as we now know1 but as ,aristarchus probably did not suspect1 the apparent displacement of the sun's position is considerable2 and this displacement1 it will be observed1 is in the direction to lessen the angle in question4 ,in point of fact1 ,aristarchus estimated the angle at eighty-seven degrees4 ,had his instrument been more precise1 and had he been able to take account of all the elements of error1 he would have found it eighty-seven degrees and fifty-two minutes4 ,the difference of measurement seems slight2 but it sufficed to make the computations differ absurdly from the truth4 ,the sun is really not merely eighteen times but more than two hundred times the distance of the moon1 as ,wendelein discovered on repeating the experiment of ,aristarchus about two thousand years later4 ,yet this discrepancy does not in the least take away from the validity of the method which ,aristarchus employed4 ,moreover1 his conclusion1 stated in general terms1 was perfectly correct3 the sun is many times more distant than the moon and vastly larger than that body4 ,granted1 then1 that the moon is1 as ,aristarchus correctly believed1 considerably less in size than the earth1 the sun must be enormously larger than the earth2 and this is the vital inference which1 more than any other1 must have seemed to ,aristarchus to confirm the suspicion that the sun and not the earth is the centre of the planetary system4 ,it seemed to him inherently improbable that an enormously large body like the sun should revolve about a small one such as the earth4 ,and again1 it seemed inconceivable that a body so distant as the sun should whirl through space so rapidly as to make the circuit of its orbit in twenty-four hours4 ,but1 on the other hand1 that a small body like the earth should revolve about the gigantic sun seemed inherently probable4 ,this proposition granted1 the rotation of the earth on its axis follows as a necessary consequence in explanation of the seeming motion of the stars4 ,here1 then1 was the heliocentric doctrine reduced to a virtual demonstration by ,aristarchus of ,samos1 somewhere about the middle of the third century ,b4,c4 ,it must be understood that in following out the steps of reasoning by which we suppose ,aristarchus to have reached so remarkable a conclusion1 we have to some extent guessed at the processes of thought-development2 for no line of explication written by the astronomer himself on this particular point has come down to us4 ,there does exist1 however1 as we have already stated1 a very remarkable treatise by ,aristarchus on the ,size and ,distance of the ,sun and the ,moon1 which so clearly suggests the methods of reasoning of the great astronomer1 and so explicitly cites the results of his measurements1 that we cannot well pass it by without quoting from it at some length4 ,it is certainly one of the most remarkable scientific documents of antiquity4 ,as already noted1 the heliocentric doctrine is not expressly stated here4 ,it seems to be tacitly implied throughout1 but it is not a necessary consequence of any of the propositions expressly stated4 ,these propositions have to do with certain observations and measurements and what ,aristarchus believes to be inevitable deductions from them1 and he perhaps did not wish to have these deductions challenged through associating them with a theory which his contemporaries did not accept4 ,in a word1 the paper of ,aristarchus is a rigidly scientific document unvitiated by association with any theorizings that are not directly germane to its central theme4 ,the treatise opens with certain hypotheses as follows3 ,first4 ,the moon receives its light from the sun4 ,second4 ,the earth may be considered as a point and as the centre of the orbit of the moon4 ,third4 ,when the moon appears to us dichotomized it offers to our view a great circle 7or actual meridian7 of its circumference which divides the illuminated part from the dark part4 ,fourth4 ,when the moon appears dichotomized its distance from the sun is less than a quarter of the circumference 7of its orbit7 by a thirtieth part of that quarter4 ,that is to say1 in modern terminology1 the moon at this time lacks three degrees 7one thirtieth of ninety degrees7 of being at right angles with the line of the sun as viewed from the earth2 or1 stated otherwise1 the angular distance of the moon from the sun as viewed from the earth is at this time eighty-seven degrees--this being1 as we have already observed1 the fundamental measurement upon which so much depends4 ,we may fairly suppose that some previous paper of ,aristarchus's has detailed the measurement which here is taken for granted1 yet which of course could depend solely on observation4 ,fifth4 ,the diameter of the shadow 7cast by the earth at the point where the moon's orbit cuts that shadow when the moon is eclipsed7 is double the diameter of the moon4 ,here again a knowledge of previously established measurements is taken for granted2 but1 indeed1 this is the case throughout the treatise4 ,sixth4 ,the arc subtended in the sky by the moon is a fifteenth part of a sign of the zodiac2 that is to say1 since there are twenty-four1 signs in the zodiac1 one-fifteenth of one twenty-fourth1 or in modern terminology1 one degree of arc4 ,this is ,aristarchus's measurement of the moon to which we have already referred when speaking of the measurements of ,archimedes4 ,if we admit these six hypotheses1 ,aristarchus continues1 it follows that the sun is more than eighteen times more distant from the earth than is the moon1 and that it is less than twenty times more distant1 and that the diameter of the sun bears a corresponding relation to the diameter of the moon2 which is proved by the position of the moon when dichotomized4 ,but the ratio of the diameter of the sun to that of the earth is greater than nineteen to three and less than forty-three to six4 ,this is demonstrated by the relation of the distances1 by the position 7of the moon7 in relation to the earth's shadow1 and by the fact that the arc subtended by the moon is a fifteenth part of a sign4 ,aristarchus follows with nineteen propositions intended to elucidate his hypotheses and to demonstrate his various contentions4 ,these show a singularly clear grasp of geometrical problems and an altogether correct conception of the general relations as to size and position of the earth1 the moon1 and the sun4 ,his reasoning has to do largely with the shadow cast by the earth and by the moon1 and it presupposes a considerable knowledge of the phenomena of eclipses4 ,his first proposition is that two equal spheres may always be circumscribed in a cylinder2 two unequal spheres in a cone of which the apex is found on the side of the smaller sphere2 and a straight line joining the centres of these spheres is perpendicular to each of the two circles made by the contact of the surface of the cylinder or of the cone with the spheres4 ,it will be observed that ,aristarchus has in mind here the moon1 the earth1 and the sun as spheres to be circumscribed within a cone1 which cone is made tangible and measurable by the shadows cast by the non-luminous bodies2 since1 continuing1 he clearly states in proposition nine1 that when the sun is totally eclipsed1 an observer on the earth's surface is at an apex of a cone comprising the moon and the sun4 ,various propositions deal with other relations of the shadows which need not detain us since they are not fundamentally important1 and we may pass to the final conclusions of ,aristarchus1 as reached in his propositions ten to nineteen4 ,now1 since 7proposition ten7 the diameter of the sun is more than eighteen times and less than twenty times greater than that of the moon1 it follows 7proposition eleven7 that the bulk of the sun is to that of the moon in ratio1 greater than #ehcb to #a1 and less than #hjjj to #a4 ,proposition sixteen4 ,the diameter of the sun is to the diameter of the earth in greater proportion than nineteen to three1 and less than forty-three to six4 ,proposition seventeen4 ,the bulk of the sun is to that of the earth in greater proportion than #fhei to #bg1 and less than #gi1ejg to #baf4 ,proposition eighteen4 ,the diameter of the earth is to the diameter of the moon in greater proportion than #ajh to #dc and less than #fj to #ai4 ,proposition nineteen4 ,the bulk of the earth is to that of the moon in greater proportion than #a1bei1gab to #gi1ejg and less than #bj1jjj to #fhei4 ,such then are the more important conclusions of this very remarkable paper--a paper which seems to have interest to the successors of ,aristarchus generation after generation1 since this alone of all the writings of the great astronomer has been preserved4 ,how widely the exact results of the measurements of ,aristarchus1 differ from the truth1 we have pointed out as we progressed4 ,but let it be repeated that this detracts little from the credit of the astronomer who had such clear and correct conceptions of the relations of the heavenly bodies and who invented such correct methods of measurement4 ,let it be particularly observed1 however1 that all the conclusions of ,aristarchus are stated in relative terms4 ,he nowhere attempts to estimate the precise size of the earth1 of the moon1 or of the sun1 or the actual distance of one of these bodies from another4 ,the obvious reason for this is that no data were at hand from which to make such precise measurements4 ,had ,aristarchus known the size of any one of the bodies in question1 he might readily1 of course1 have determined the size of the others by the mere application of his relative scale2 but he had no means of determining the size of the earth1 and to this extent his system of measurements remained imperfect4 ,where ,aristarchus halted1 however1 another worker of the same period took the task in hand and by an altogether wonderful measurement determined the size of the earth1 and thus brought the scientific theories of cosmology to their climax4 ,this worthy supplementor of the work of ,aristarchus was ,eratosthenes of ,alexandria4 ,,eratosthenes1 ,,the ,,surveyor ,,of ,,the ,,world ,an altogether remarkable man was this native of ,cyrene1 who came to ,alexandria from ,athens to be the chief librarian of ,ptolemy ,euergetes4 ,he was not merely an astronomer and a geographer1 but a poet and grammarian as well4 ,his contemporaries jestingly called him ,beta the ,second1 because he was said through the universality of his attainments to be a second ,plato in philosophy1 a second ,thales in astronomy1 and so on throughout the list4 ,he was also called the surveyor of the world1 in recognition of his services to geography4 ,hipparchus said of him1 perhaps half jestingly1 that he had studied astronomy as a geographer and geography as an astronomer4 ,it is not quite clear whether the epigram was meant as compliment or as criticism4 ,similar phrases have been turned against men of versatile talent in every age4 ,be that as it may1 ,eratosthenes passed into history as the father of scientific geography and of scientific chronology2 as the astronomer who first measured the obliquity of the ecliptic2 and as the inventive genius who performed the astounding feat of measuring the size of the globe on which we live at a time when only a relatively small portion of that globe's surface was known to civilized man4 ,it is no discredit to approach astronomy as a geographer and geography as an astronomer if the results are such as these4 ,what ,eratosthenes really did was to approach both astronomy and geography from two seemingly divergent points of attack--namely1 from the stand-point of the geometer and also from that of the poet4 ,perhaps no man in any age has brought a better combination of observing and imaginative faculties to the aid of science4 ,nearly all the discoveries of ,eratosthenes are associated with observations of the shadows cast by the sun4 ,we have seen that1 in the study of the heavenly bodies1 much depends on the measurement of angles4 ,now the easiest way in which angles can be measured1 when solar angles are in question1 is to pay attention1 not to the sun itself1 but to the shadow that it casts4 ,we saw that ,thales made some remarkable measurements with the aid of shadows1 and we have more than once referred to the gnomon1 which is the most primitive1 but which long remained the most important1 of astronomical instruments4 ,it is believed that ,eratosthenes invented an important modification of the gnomon which was elaborated afterwards by ,hipparchus and called an armillary sphere4 ,this consists essentially of a small gnomon1 or perpendicular post1 attached to a plane representing the earth's equator and a hemisphere in imitation of the earth's surface4 ,with the aid of this1 the shadow cast by the sun could be very accurately measured4 ,it involves no new principle4 ,every perpendicular post or object of any kind placed in the sunlight casts a shadow from which the angles now in question could be roughly measured4 ,the province of the armillary sphere was to make these measurements extremely accurate4 ,with the aid of this implement1 ,eratosthenes carefully noted the longest and the shortest shadows cast by the gnomon--that is to say1 the shadows cast on the days of the solstices4 ,he found that the distance between the tropics thus measured represented #dg degrees #db' #ci of arc4 ,one-half of this1 or #bc degrees #e1' #ai4e1 represented the obliquity of the ecliptic--that is to say1 the angle by which the earth's axis dipped from the perpendicular with reference to its orbit4 ,this was a most important observation1 and because of its accuracy it has served modern astronomers well for comparison in measuring the trifling change due to our earth's slow1 swinging wobble4 ,for the earth1 be it understood1 like a great top spinning through space1 holds its position with relative but not quite absolute fixity4 ,it must not be supposed1 however1 that the experiment in question was quite new with ,eratosthenes4 ,his merit consists rather in the accuracy with which he made his observation than in the novelty of the conception2 for it is recorded that ,eudoxus1 a full century earlier1 had remarked the obliquity of the ecliptic4 ,that observer had said that the obliquity corresponded to the side of a pentadecagon1 or fifteen-sided figure1 which is equivalent in modern phraseology to twenty-four degrees of arc4 ,but so little is known regarding the way in which ,eudoxus reached his estimate that the measurement of ,eratosthenes is usually spoken of as if it were the first effort of the kind4 ,much more striking1 at least in its appeal to the popular imagination1 was that other great feat which ,eratosthenes performed with the aid of his perfected gnomon--the measurement of the earth itself4 ,when we reflect that at this period the portion of the earth open to observation extended only from the ,straits of ,gibraltar on the west to ,india on the east1 and from the ,north ,sea to ,upper ,egypt1 it certainly seems enigmatical--at first thought almost miraculous--that an observer should have been able to measure the entire globe4 ,that he should have accomplished this through observation of nothing more than a tiny bit of ,egyptian territory and a glimpse of the sun's shadow makes it seem but the more wonderful4 ,yet the method of ,eratosthenes1 like many another enigma1 seems simple enough once it is explained4 ,it required but the application of a very elementary knowledge of the geometry of circles1 combined with the use of a fact or two from local geography--which detracts nothing from the genius of the man who could reason from such simple premises to so wonderful a conclusion4 ,stated in a few words1 the experiment of ,eratosthenes was this4 ,his geographical studies had taught him that the town of ,syene lay directly south of ,alexandria1 or1 as we should say1 on the same meridian of latitude4 ,he had learned1 further1 that ,syene lay directly under the tropic1 since it was reported that at noon on the day of the summer solstice the gnomon there cast no shadow1 while a deep well was illumined to the bottom by the sun4 ,a third item of knowledge1 supplied by the surveyors of ,ptolemy1 made the distance between ,syene and ,alexandria five thousand stadia4 ,these1 then1 were the preliminary data required by ,eratosthenes4 ,their significance consists in the fact that here is a measured bit of the earth's arc five thousand stadia in length4 ,if we could find out what angle that bit of arc subtends1 a mere matter of multiplication would give us the size of the earth4 ,but how determine this all-important number8 ,the answer came through reflection on the relations of concentric circles4 ,if you draw any number of circles1 of whatever size1 about a given centre1 a pair of radii drawn from that centre will cut arcs of the same relative size from all the circles4 ,one circle may be so small that the actual arc subtended by the radii in a given case may be but an inch in length1 while another circle is so large that its corresponding are is measured in millions of miles2 but in each case the same number of so-called degrees will represent the relation of each arc to its circumference4 ,now1 ,eratosthenes knew1 as just stated1 that the sun1 when on the meridian on the day of the summer solstice1 was directly over the town of ,syene4 ,this meant that at that moment a radius of the earth projected from ,syene would point directly towards the sun4 ,meanwhile1 of course1 the zenith would represent the projection of the radius of the earth passing through ,alexandria4 ,all that was required1 then1 was to measure1 at ,alexandria1 the angular distance of the sun from the zenith at noon on the day of the solstice to secure an approximate measurement of the arc of the sun's circumference1 corresponding to the arc of the earth's surface represented by the measured distance between ,alexandria and ,syene4 ,the reader will observe that the measurement could not be absolutely accurate1 because it is made from the surface of the earth1 and not from the earth's centre1 but the size of the earth is so insignificant in comparison with the distance of the sun that this slight discrepancy could be disregarded4 ,the way in which ,eratosthenes measured this angle was very simple4 ,he merely measured the angle of the shadow which his perpendicular gnomon at ,alexandria cast at mid-day on the day of the solstice1 when1 as already noted1 the sun was directly perpendicular at ,syene4 ,now a glance at the diagram will make it clear that the measurement of this angle of the shadow is merely a convenient means of determining the precisely equal opposite angle subtending an arc of an imaginary circle passing through the sun2 the are which1 as already explained1 corresponds with the arc of the earth's surface represented by the distance between ,alexandria and ,syene4 ,he found this angle to represent #g degrees #ab'1 or one-fiftieth of the circle4 ,five thousand stadia1 then1 represent one-fiftieth of the earth's circumference2 the entire circumference being1 therefore1 #bej1jjj stadia4 ,unfortunately1 we do not know which one of the various measurements used in antiquity is represented by the stadia of ,eratosthenes4 ,according to the researches of ,lepsius1 however1 the stadium in question represented #ahj meters1 and this would make the earth1 according to the measurement of ,eratosthenes1 about twenty-eight thousand miles in circumference1 an answer sufficiently exact to justify the wonder which the experiment excited in antiquity1 and the admiration with which it has ever since been regarded4 illustration caption ,,diagram ,,to ,,illustrate ,,eratosthenes' ,,measurement ,,of ,,the ,,globe ,,fig4 #a4 ,,af is a gnomon at ,alexandria2 ,,sb a gnomon at ,svene2 ,,is and ,,jk represent the sun's rays4 ,the angle actually measured by ,eratosthenes is ,,kfa1 as determined by the shadow cast by the gnomon ,,af4 ,this angle is equal to the opposite angle ,,jfl1 which measures the sun's distance from the zenith2 and which is also equal to the angle ,,aes--to determine the ,size of which is the real object of the entire measurement4 ,,fig4 #b shows the form of the gnomon actually employed in antiquity4 ,the hemisphere ,,ka being marked with a scale1 it is obvious that in actual practice ,eratosthenes required only to set his gnomon in the sunlight at the proper moment1 and read off the answer to his problem at a glance4 ,the simplicity of the method makes the result seem all the more wonderful4 ,of course it is the method1 and not its details or its exact results1 that excites our interest4 ,and beyond question the method was an admirable one4 ,its result1 however1 could not have been absolutely accurate1 because1 while correct in principle1 its data were defective4 ,in point of fact ,syene did not lie precisely on the same meridian as ,alexandria1 neither did it lie exactly on the tropic4 ,here1 then1 are two elements of inaccuracy4 ,moreover1 it is doubtful whether ,eratosthenes made allowance1 as he should have done1 for the semi-diameter of the sun in measuring the angle of the shadow4 ,but these are mere details1 scarcely worthy of mention from our present stand-point4 ,what perhaps is deserving of more attention is the fact that this epoch-making measurement of ,eratosthenes may not have been the first one to be made4 ,a passage of ,aristotle records that the size of the earth was said to be #djj1jjj stadia4 ,some commentators have thought that ,aristotle merely referred to the area of the inhabited portion of the earth and not to the circumference of the earth itself1 but his words seem doubtfully susceptible of this interpretation2 and if he meant1 as his words seem to imply1 that philosophers of his day had a tolerably precise idea of the globe1 we must assume that this idea was based upon some sort of measurement4 ,the recorded size1 #djj1jjj stadia1 is a sufficient approximation to the truth to suggest something more than a mere unsupported guess4 ,now1 since ,aristotle died more than fifty years before ,eratosthenes was born1 his report as to the alleged size of the earth certainly has a suggestiveness that cannot be overlooked2 but it arouses speculations without giving an inkling as to their solution4 ,if ,eratosthenes had a precursor as an earth-measurer1 no hint or rumor has come down to us that would enable us to guess who that precursor may have been4 ,his personality is as deeply enveloped in the mists of the past as are the personalities of the great prehistoric discoverers4 ,for the purpose of the historian1 ,eratosthenes must stand as the inventor of the method with which his name is associated1 and as the first man of whom we can say with certainty that he measured the size of the earth4 ,right worthily1 then1 had the ,alexandrian philosopher won his proud title of surveyor of the world4 ,,hipparchus1 ,,the ,,lover ,,of ,,truth ,eratosthenes outlived most of his great contemporaries4 ,he saw the turning of that first and greatest century of ,alexandrian science1 the third century before our era4 ,he died in the year #aif ,b4,c41 having1 it is said1 starved himself to death to escape the miseries of blindness2--to the measurer of shadows1 life without light seemed not worth the living4 ,eratosthenes left no immediate successor4 ,a generation later1 however1 another great figure appeared in the astronomical world in the person of ,hipparchus1 a man who1 as a technical observer1 had perhaps no peer in the ancient world3 one who set so high a value upon accuracy of observation as to earn the title of the lover of truth4 ,hipparchus was born at ,nicaea1 in ,bithynia1 in the year #afj ,b4,c4 ,his life1 all too short for the interests of science1 ended in the year #abe ,b4,c4 ,the observations of the great astronomer were made chiefly1 perhaps entirely1 at ,rhodes4 ,a misinterpretation of ,ptolemy's writings led to the idea that ,hipparchus1 performed his chief labors in ,alexandria1 but it is now admitted that there is no evidence for this4 ,delambre doubted1 and most subsequent writers follow him here1 whether ,hipparchus ever so much as visited ,alexandria4 ,in any event there seems to be no question that ,rhodes may claim the honor of being the chief site of his activities4 ,it was ,hipparchus whose somewhat equivocal comment on the work of ,eratosthenes we have already noted4 ,no counter-charge in kind could be made against the critic himself2 he was an astronomer pure and simple4 ,his gift was the gift of accurate observation rather than the gift of imagination4 ,no scientific progress is possible without scientific guessing1 but ,hipparchus belonged to that class of observers with whom hypothesis is held rigidly subservient to fact4 ,it was not to be expected that his mind would be attracted by the heliocentric theory of ,aristarchus4 ,he used the facts and observations gathered by his great predecessor of ,samos1 but he declined to accept his theories4 ,for him the world was central2 his problem was to explain1 if he could1 the irregularities of motion which sun1 moon1 and planets showed in their seeming circuits about the earth4 ,hipparchus had the gnomon of ,eratosthenes--doubtless in a perfected form--to aid him1 and he soon proved himself a master in its use4 ,for him1 as we have said1 accuracy was everything2 this was the one element that led to all his great successes4 ,perhaps his greatest feat was to demonstrate the eccentricity of the sun's seeming orbit4 ,we of to-day1 thanks to ,keppler and his followers1 know that the earth and the other planetary bodies in their circuit about the sun describe an ellipse and not a circle4 ,but in the day of ,hipparchus1 though the ellipse was recognized as a geometrical figure 7it had been described and named along with the parabola and hyperbola by ,apollonius of ,perga1 the pupil of ,euclid71 yet it would have been the rankest heresy to suggest an elliptical course for any heavenly body4 ,a metaphysical theory1 as propounded perhaps by the ,pythagoreans but ardently supported by ,aristotle1 declared that the circle is the perfect figure1 and pronounced it inconceivable that the motions of the spheres should be other than circular4 ,this thought dominated the mind of ,hipparchus1 and so when his careful measurements led him to the discovery that the northward and southward journeyings of the sun did not divide the year into four equal parts1 there was nothing open to him but to either assume that the earth does not lie precisely at the centre of the sun's circular orbit or to find some alternative hypothesis4 ,in point of fact1 the sun 7reversing the point of view in accordance with modern discoveries7 does lie at one focus of the earth's elliptical orbit1 and therefore away from the physical centre of that orbit2 in other words1 the observations of ,hipparchus were absolutely accurate4 ,he was quite correct in finding that the sun spends more time on one side of the equator than on the other4 ,when1 therefore1 he estimated the relative distance of the earth from the geometrical centre of the sun's supposed circular orbit1 and spoke of this as the measure of the sun's eccentricity1 he propounded a theory in which true data of observation were curiously mingled with a positively inverted theory4 ,that the theory of ,hipparchus was absolutely consistent with all the facts of this particular observation is the best evidence that could be given of the difficulties that stood in the way of a true explanation of the mechanism of the heavens4 ,but it is not merely the sun which was observed to vary in the speed of its orbital progress2 the moon and the planets also show curious accelerations and retardations of motion4 ,the moon in particular received most careful attention from ,hipparchus4 ,dominated by his conception of the perfect spheres1 he could find but one explanation of the anomalous motions which he observed1 and this was to assume that the various heavenly bodies do not fly on in an unvarying arc in their circuit about the earth1 but describe minor circles as they go which can be likened to nothing so tangibly as to a light attached to the rim of a wagon-wheel in motion4 ,if such an invisible wheel be imagined as carrying the sun1 for example1 on its rim1 while its invisible hub follows unswervingly the circle of the sun's mean orbit 7this wheel1 be it understood1 lying in the plane of the orbit1 not at right-angles to it71 then it must be obvious that while the hub remains always at the same distance from the earth1 the circling rim will carry the sun nearer the earth1 then farther away1 and that while it is traversing that portion of the are which brings it towards the earth1 the actual forward progress of the sun will be retarded notwithstanding the uniform motion of the hub1 just as it will be accelerated in the opposite arc4 ,now1 if we suppose our sun-bearing wheel to turn so slowly that the sun revolves but once about its imaginary hub while the wheel itself is making the entire circuit of the orbit1 we shall have accounted for the observed fact that the sun passes more quickly through one-half of the orbit than through the other4 ,moreover1 if we can visualize the process and imagine the sun to have left a visible line of fire behind him throughout the course1 we shall see that in reality the two circular motions involved have really resulted in producing an elliptical orbit4 ,the idea is perhaps made clearer if we picture the actual progress of the lantern attached to the rim of an ordinary cart-wheel4 ,when the cart is drawn forward the lantern is made to revolve in a circle as regards the hub of the wheel1 but since that hub is constantly going forward1 the actual path described by the lantern is not a circle at all but a waving line4 ,it is precisely the same with the imagined course of the sun in its orbit1 only that we view these lines just as we should view the lantern on the wheel if we looked at it from directly above and not from the side4 ,the proof that the sun is describing this waving line1 and therefore must be considered as attached to an imaginary wheel1 is furnished1 as it seemed to ,hipparchus1 by the observed fact of the sun's varying speed4 ,that is one way of looking at the matter4 ,it is an hypothesis that explains the observed facts--after a fashion1 and indeed a very remarkable fashion4 ,the idea of such an explanation did not originate with ,hipparchus4 ,the germs of the thought were as old as the ,pythagorean doctrine that the earth revolves about a centre that we cannot see4 ,eudoxus gave the conception greater tangibility1 and may be considered as the father of this doctrine of wheels--epicycles1 as they came to be called4 ,two centuries before the time of ,hipparchus he conceived a doctrine of spheres which ,aristotle found most interesting1 and which served to explain1 along the lines we have just followed1 the observed motions of the heavenly bodies4 ,calippus1 the reformer of the calendar1 is said to have carried an account of this theory to ,aristotle4 ,as new irregularities of motion of the sun1 moon1 and planetary bodies were pointed out1 new epicycles were invented4 ,there is no limit to the number of imaginary circles that may be inscribed about an imaginary centre1 and if we conceive each one of these circles to have a proper motion of its own1 and each one to carry the sun in the line of that motion1 except as it is diverted by the other motions--if we can visualize this complex mingling of wheels--we shall certainly be able to imagine the heavenly body which lies at the juncture of all the rims1 as being carried forward in as erratic and wobbly a manner as could be desired4 ,in other words1 the theory of epicycles will account for all the facts of the observed motions of all the heavenly bodies1 but in so doing it fills the universe with a most bewildering network of intersecting circles4 ,even in the time of ,calippus fifty-five of these spheres were computed4 ,we may well believe that the clear-seeing ,aristarchus would look askance at such a complex system of imaginary machinery4 ,but ,hipparchus1 pre-eminently an observer rather than a theorizer1 seems to have been content to accept the theory of epicycles as he found it1 though his studies added to its complexities2 and ,hipparchus was the dominant scientific personality of his century4 ,what he believed became as a law to his immediate successors4 ,his tenets were accepted as final by their great popularizer1 ,ptolemy1 three centuries later2 and so the heliocentric theory of ,aristarchus passed under a cloud almost at the hour of its dawning1 there to remain obscured and forgotten for the long lapse of centuries4 ,a thousand pities that the greatest observing astronomer of antiquity could not1 like one of his great precursors1 have approached astronomy from the stand-point of geography and poetry4 ,had he done so1 perhaps he might have reflected1 like ,aristarchus before him1 that it seems absurd for our earth to hold the giant sun in thraldom2 then perhaps his imagination would have reached out to the heliocentric doctrine1 and the cobweb hypothesis of epicycles1 with that yet more intangible figment of the perfect circle1 might have been wiped away4 ,but it was not to be4 ,with ,aristarchus the scientific imagination had reached its highest flight2 but with ,hipparchus it was beginning to settle back into regions of foggier atmosphere and narrower horizons4 ,for what1 after all1 does it matter that ,hipparchus should go on to measure the precise length of the year and the apparent size of the moon's disk2 that he should make a chart of the heavens showing the place of #ajhj stars2 even that he should discover the precession of the equinox2--what1 after all1 is the significance of these details as against the all-essential fact that the greatest scientific authority of his century--the one truly heroic scientific figure of his epoch--should have lent all the forces of his commanding influence to the old1 false theory of cosmology1 when the true theory had been propounded and when he1 perhaps1 was the only man in the world who might have substantiated and vitalized that theory8 ,it is easy to overestimate the influence of any single man1 and1 contrariwise1 to underestimate the power of the ,zeitgeist4 ,but when we reflect that the doctrines of ,hipparchus1 as promulgated by ,ptolemy1 became1 as it were1 the last word of astronomical science for both the ,eastern and ,western worlds1 and so continued after a thousand years1 it is perhaps not too much to say that ,hipparchus1 the lover of truth1 missed one of the greatest opportunities for the promulgation of truth ever vouchsafed to a devotee of pure science4 ,but all this1 of course1 detracts nothing from the merits of ,hipparchus as an observing astronomer4 ,a few words more must be said as to his specific discoveries in this field4 ,according to his measurement1 the tropic year consists of #cfe days1 #e hours1 and #di minutes1 varying thus only #ab seconds from the true year1 as the modern astronomer estimates it4 ,yet more remarkable1 because of the greater difficulties involved1 was ,hipparchus's attempt to measure the actual distance of the moon4 ,aristarchus had made a similar attempt before him4 ,hipparchus based his computations on studies of the moon in eclipse1 and he reached the conclusion that the distance of the moon is equal to #ei radii of the earth 7in reality it is #fj4bg radii74 ,here1 then1 was the measure of the base-line of that famous triangle with which ,aristarchus had measured the distance of the sun4 ,hipparchus must have known of that measurement1 since he quotes the work of ,aristarchus in other fields4 ,had he now but repeated the experiment of ,aristarchus1 with his perfected instruments and his perhaps greater observational skill1 he was in position to compute the actual distance of the sun in terms not merely of the moon's distance but of the earth's radius4 ,and now there was the experiment of ,eratosthenes to give the length of that radius in precise terms4 ,in other words1 ,hipparchus might have measured the distance of the sun in stadia4 ,but if he had made the attempt--and1 indeed1 it is more than likely that he did so--the elements of error in his measurements would still have kept him wide of the true figures4 ,the chief studies of ,hipparchus were directed1 as we have seen1 towards the sun and the moon1 but a phenomenon that occurred in the year #acd ,b4,c4 led him for a time to give more particular attention to the fixed stars4 ,the phenomenon in question was the sudden outburst of a new star2 a phenomenon which has been repeated now and again1 but which is sufficiently rare and sufficiently mysterious to have excited the unusual attention of astronomers in all generations4 ,modern science offers an explanation of the phenomenon1 as we shall see in due course4 ,we do not know that ,hipparchus attempted to explain it1 but he was led to make a chart of the heavens1 probably with the idea of guiding future observers in the observation of new stars4 ,here again ,hipparchus was not altogether an innovator1 since a chart showing the brightest stars had been made by ,eratosthenes2 but the new charts were much elaborated4 ,the studies of ,hipparchus led him to observe the stars chiefly with reference to the meridian rather than with reference to their rising1 as had hitherto been the custom4 ,in making these studies of the relative position of the stars1 ,hipparchus was led to compare his observations with those of the ,babylonians1 which1 it was said1 ,alexander had caused to be transmitted to ,greece4 ,he made use also of the observations of ,aristarchus and others of his ,greek precursors4 ,the result of his comparisons proved that the sphere of the fixed stars had apparently shifted its position in reference to the plane of the sun's orbit--that is to say1 the plane of the ecliptic no longer seemed to cut the sphere of the fixed stars at precisely the point where the two coincided in former centuries4 ,the plane of the ecliptic must therefore be conceived as slowly revolving in such a way as gradually to circumnavigate the heavens4 ,this important phenomenon is described as the precession of the equinoxes4 ,it is much in question whether this phenomenon was not known to the ancient ,egyptian astronomers2 but in any event1 ,hipparchus is to be credited with demonstrating the fact and making it known to the ,western world4 ,a further service was rendered theoretical astronomy by ,hipparchus through his invention of the planosphere1 an instrument for the representation of the mechanism of the heavens4 ,his computations of the properties of the spheres led him also to what was virtually a discovery of the method of trigonometry1 giving him1 therefore1 a high position in the field of mathematics4 ,all in all1 then1 ,hipparchus is a most heroic figure4 ,he may well be considered the greatest star-gazer of antiquity1 though he cannot1 without injustice to his great precursors1 be allowed the title which is sometimes given him of father of systematic astronomy4 ,,ctesibius ,,and ,,hero3 ,,magicians ,,of ,,alexandria ,just about the time when ,hipparchus was working out at ,rhodes his puzzles of celestial mechanics1 there was a man in ,alexandria who was exercising a strangely inventive genius over mechanical problems of another sort2 a man who1 following the example set by ,archimedes a century before1 was studying the problems of matter and putting his studies to practical application through the invention of weird devices4 ,the man's name was ,ctesibius4 ,we know scarcely more of him than that he lived in ,alexandria1 probably in the first half of the second century ,b4,c4 ,his antecedents1 the place and exact time of his birth and death1 are quite unknown4 ,neither are we quite certain as to the precise range of his studies or the exact number of his discoveries4 ,it appears that he had a pupil named ,hero1 whose personality1 unfortunately1 is scarcely less obscure than that of his master1 but who wrote a book through which the record of the master's inventions was preserved to posterity4 ,hero1 indeed1 wrote several books1 though only one of them has been preserved4 ,the ones that are lost bear the following suggestive titles3 ,on the ,construction of ,slings2 ,on the ,construction of ,missiles2 ,on the ,automaton2 ,on the ,method of ,lifting ,heavy ,bodies2 ,on the ,dioptric or ,spying-tube4 ,the work that remains is called ,pneumatics1 and so interesting a work it is as to make us doubly regret the loss of its companion volumes4 ,had these other books been preserved we should doubtless have a clearer insight than is now possible into some at least of the mechanical problems that exercised the minds of the ancient philosophers4 ,the book that remains is chiefly concerned1 as its name implies1 with the study of gases1 or1 rather1 with the study of a single gas1 this being1 of course1 the air4 ,but it tells us also of certain studies in the dynamics of water that are most interesting1 and for the historian of science most important4 ,unfortunately1 the pupil of ,ctesibius1 whatever his ingenuity1 was a man with a deficient sense of the ethics of science4 ,he tells us in his preface that the object of his book is to record some ingenious discoveries of others1 together with additional discoveries of his own1 but nowhere in the book itself does he give us the1 slightest clew as to where the line is drawn between the old and the new4 ,once1 in discussing the weight of water1 he mentions the law of ,archimedes regarding a floating body1 but this is the only case in which a scientific principle is traced to its source or in which credit is given to any one for a discovery4 ,this is the more to be regretted because ,hero has discussed at some length the theories involved in the treatment of his subject4 ,this reticence on the part of ,hero1 combined with the fact that such somewhat later writers as ,pliny and ,vitruvius do not mention ,hero's name1 while they frequently mention the name of his master1 ,ctesibius1 has led modern critics to a somewhat sceptical attitude regarding the position of ,hero as an actual discoverer4 ,the man who would coolly appropriate some discoveries of others under cloak of a mere prefatorial reference was perhaps an expounder rather than an innovator1 and had1 it is shrewdly suspected1 not much of his own to offer4 ,meanwhile1 it is tolerably certain that ,ctesibius was the discoverer of the principle of the siphon1 of the forcing-pump1 and of a pneumatic organ4 ,an examination of ,hero's book will show that these are really the chief principles involved in most of the various interesting mechanisms which he describes4 ,we are constrained1 then1 to believe that the inventive genius who was really responsible for the mechanisms we are about to describe was ,ctesibius1 the master4 ,yet we owe a debt of gratitude to ,hero1 the pupil1 for having given wider vogue to these discoveries1 and in particular for the discussion of the principles of hydrostatics and pneumatics contained in the introduction to his book4 ,this discussion furnishes us almost our only knowledge as to the progress of ,greek philosophers in the field of mechanics since the time of ,archimedes4 ,the main purpose of ,hero in his preliminary thesis has to do with the nature of matter1 and recalls1 therefore1 the studies of ,anaxagoras and ,democritus4 ,hero1 however1 approaches his subject from a purely material or practical stand-point4 ,he is an explicit champion of what we nowadays call the molecular theory of matter4 ,every body1 he tells us1 is composed of minute particles1 between which are empty spaces less than these particles of the body4 ,it is1 therefore1 erroneous to say that there is no vacuum except by the application of force1 and that every space is full either of air or water or some other substance4 ,but in proportion as any one of these particles recedes1 some other follows it and fills the vacant space2 therefore there is no continuous vacuum1 except by the application of some force 7like suction7--that is to say1 an absolute vacuum is never found1 except as it is produced artificially4 ,hero brings forward some thoroughly convincing proofs of the thesis he is maintaining4 ,if there were no void places between the particles of water1 he says1 the rays of light could not penetrate the water2 moreover1 another liquid1 such as wine1 could not spread itself through the water1 as it is observed to do1 were the particles of water absolutely continuous4 ,the latter illustration is one the validity of which appeals as forcibly to the physicists of to-day as it did to ,hero4 ,the same is true of the argument drawn from the compressibility of gases4 ,hero has evidently made a careful study of this subject4 ,he knows that an inverted tube full of air may be immersed in water without becoming wet on the inside1 proving that air is a physical substance2 but he knows also that this same air may be caused to expand to a much greater bulk by the application of heat1 or may1 on the other hand1 be condensed by pressure1 in which case1 as he is well aware1 the air exerts force in the attempt to regain its normal bulk4 ,but1 he argues1 surely we are not to believe that the particles of air expand to fill all the space when the bulk of air as a whole expands under the influence of heat2 nor can we conceive that the particles of normal air are in actual contact1 else we should not be able to compress the air4 ,hence his conclusion1 which1 as we have seen1 he makes general in its application to all matter1 that there are spaces1 or1 as he calls them1 vacua1 between the particles that go to make up all substances1 whether liquid1 solid1 or gaseous4 ,here1 clearly enough1 was the idea of the atomic nature of matter accepted as a fundamental notion4 ,the argumentative attitude assumed by ,hero shows that the doctrine could not be expected to go unchallenged4 ,but1 on the other hand1 there is nothing in his phrasing to suggest an intention to claim originality for any phase of the doctrine4 ,we may infer that in the three hundred years that had elapsed since the time of ,anaxagoras1 that philosopher's idea of the molecular nature of matter had gained fairly wide currency4 ,as to the expansive power of gas1 which ,hero describes at some length without giving us a clew to his authorities1 we may assume that ,ctesibius was an original worker1 yet the general facts involved were doubtless much older than his day4 ,hero1 for example1 tells us of the cupping-glass used by physicians1 which he says is made into a vacuum by burning up the air in it2 but this apparatus had probably been long in use1 and ,hero mentions it not in order to describe the ordinary cupping-glass which is referred to1 but a modification of it4 ,he refers to the old form as if it were something familiar to all4 ,again1 we know that ,empedocles studied the pressure of the air in the fifth century ,b4,c41 and discovered that it would support a column of water in a closed tube1 so this phase of the subject is not new4 ,but there is no hint anywhere before this work of ,hero of a clear understanding that the expansive properties of the air when compressed1 or when heated1 may be made available as a motor power4 ,hero1 however1 has the clearest notions on the subject and puts them to the practical test of experiment4 ,thus he constructs numerous mechanisms in which the expansive power of air under pressure is made to do work1 and others in which the same end is accomplished through the expansive power of heated air4 ,for example1 the doors of a temple are made to swing open automatically when a fire is lighted on a distant altar1 closing again when the fire dies out--effects which must have filled the minds of the pious observers with bewilderment and wonder1 serving a most useful purpose for the priests1 who alone1 we may assume1 were in the secret4 ,there were two methods by which this apparatus was worked4 ,in one the heated air pressed on the water in a close retort connected with the altar1 forcing water out of the retort into a bucket1 which by its weight applied a force through pulleys and ropes that turned the standards on which the temple doors revolved4 ,when the fire died down the air contracted1 the water was siphoned back from the bucket1 which1 being thus lightened1 let the doors close again through the action of an ordinary weight4 ,the other method was a slight modification1 in which the retort of water was dispensed with and a leather sack like a large football substitued4 ,the ropes and pulleys were connected with this sack1 which exerted a pull when the hot air expanded1 and which collapsed and thus relaxed its strain when the air cooled4 ,a glance at the illustrations taken from ,hero's book will make the details clear4 ,other mechanisms utilized a somewhat different combination of weights1 pulleys1 and siphons1 operated by the expansive power of air1 unheated but under pressure1 such pressure being applied with a force-pump1 or by the weight of water running into a closed receptacle4 ,one such mechanism gives us a constant jet of water or perpetual fountain4 ,another curious application of the principle furnishes us with an elaborate toy1 consisting of a group of birds which alternately whistle or are silent1 while an owl seated on a neighboring perch turns towards the birds when their song begins and away from them when it ends4 ,the singing of the birds1 it must be explained1 is produced by the expulsion of air through tiny tubes passing up through their throats from a tank below4 ,the owl is made to turn by a mechanism similar to that which manipulates the temple doors4 ,the pressure is supplied merely by a stream of running water1 and the periodical silence of the birds is due to the fact that this pressure is relieved through the automatic siphoning off of the water when it reaches a certain height4 ,the action of the siphon1 it may be added1 is correctly explained by ,hero as due to the greater weight of the water in the longer arm of the bent tube4 ,as before mentioned1 the siphon is repeatedly used in these mechanisms of ,hero4 ,the diagram will make clear the exact application of it in the present most ingenious mechanism4 ,we may add that the principle of the whistle was a favorite one of ,hero4 ,by the aid of a similar mechanism he brought about the blowing of trumpets when the temple doors were opened1 a phenomenon which must greatly have enhanced the mystification4 ,it is possible that this principle was utilized also in connection with statues to produce seemingly supernatural effects4 ,this may be the explanation of the tradition of the speaking statue in the temple of ,ammon at ,thebes4 illustration caption ,,device ,,for ,,causing ,,the ,,doors ,,of ,,the ,,temple ,,to ,,open ,,when ,,the ,,fire ,,on ,,the ,,altar ,,is ,,lighted 7,air heated in the altar ,f drives water from the closed receptacle ,h through the tube ,,kl into the bucket ,m1 which descends through gravity1 thus opening the doors4 ,when the altar cools1 the air contracts1 the water is sucked from the bucket1 and the weight and pulley close the doors47 illustration caption ,,the ,,steam-,,engine ,,of ,,hero 7,the steam generated in the receptacle ,,ab passes through the tube ,,ef into the globe1 and escapes through the bent tubes ,h and ,k1 causing the globe to rotate on the axis ,,lg47 ,the utilization of the properties of compressed air was not confined1 however1 exclusively to mere toys1 or to produce miraculous effects4 ,the same principle was applied to a practical fire-engine1 worked by levers and force-pumps2 an apparatus1 in short1 altogether similar to that still in use in rural districts4 ,a slightly different application of the motive power of expanding air is furnished in a very curious toy called the dancing figures4 ,in this1 air heated in a retort like a miniature altar is allowed to escape through the sides of two pairs of revolving arms precisely like those of the ordinary revolving fountain with which we are accustomed to water our lawns1 the revolving arms being attached to a plane on which several pairs of statuettes representing dancers are placed1 ,an even more interesting application of this principle of setting a wheel in motion is furnished in a mechanism which must be considered the earliest of steam-engines4 ,here1 as the name implies1 the gas supplying the motive power is actually steam4 ,the apparatus made to revolve is a globe connected with the steam-retort by a tube which serves as one of its axes1 the steam escaping from the globe through two bent tubes placed at either end of an equatorial diameter4 ,it does not appear that ,hero had any thought of making practical use of this steam-engine4 ,it was merely a curious toy--nothing more4 ,yet had not the age that succeeded that of ,hero been one in which inventive genius was dormant1 some one must soon have hit upon the idea that this steam-engine might be improved and made to serve a useful purpose4 ,as the case stands1 however1 there was no advance made upon the steam motor of ,hero for almost two thousand years4 ,and1 indeed1 when the practical application of steam was made1 towards the close of the eighteenth century1 it was made probably quite without reference to the experiment of ,hero1 though knowledge of his toy may perhaps have given a clew to ,watt or his predecessors4 illustration caption ,,the ,,slot-,,machine ,,of ,,hero 7,the coin introduced at ,a falls on the lever ,r1 and by its weight opens the valve ,s1 permitting the liquid to escape through the invisible tube ,,lm4 ,as the lever tips1 the coin slides off and the valve closes4 ,the liquid in tank must of course be kept above ,f47 ,in recent times there has been a tendency to give to this steam-engine of ,hero something more than full meed of appreciation4 ,to be sure1 it marked a most important principle in the conception that steam might be used as a motive power1 but1 except in the demonstration of this principle1 the mechanism of ,hero was much too primitive to be of any importance4 ,but there is one mechanism described by ,hero which was a most explicit anticipation of a device1 which presumably soon went out of use1 and which was not reinvented until towards the close of the nineteenth century4 ,this was a device which has become familiar in recent times as the penny-in-the-slot machine4 ,when towards the close of the nineteenth century some inventive craftsman hit upon the idea of an automatic machine to supply candy1 a box of cigarettes1 or a whiff of perfumery1 he may or may not have borrowed his idea from the slot-machine of ,hero2 but in any event1 instead of being an innovator he was really two thousand years behind the times1 for the slot-machine of ,hero is the precise prototype of these modern ones4 ,the particular function which the mechanism of ,hero was destined to fulfil was the distribution of a jet of water1 presumably used for sacramental purposes1 which was given out automatically when a five-drachma coin was dropped into the slot at the top of the machine4 ,the internal mechanism of the machine was simple enough1 consisting merely of a lever operating a valve which was opened by the weight of the coin dropping on the little shelf at the end of the lever1 and which closed again when the coin slid off the shelf4 ,the illustration will show how simple this mechanism was4 ,yet to the worshippers1 who probably had entered the temple through doors miraculously opened1 and who now witnessed this seemingly intelligent response of a machine1 the result must have seemed mystifying enough2 and1 indeed1 for us also1 when we consider how relatively crude was the mechanical knowledge of the time1 this must seem nothing less than marvellous4 ,as in imagination we walk up to the sacred tank1 drop our drachma in the slot1 and hold our hand for the spurt of holy-water1 can we realize that this is the land of the ,pharaohs1 not ,england or ,america2 that the kingdom of the ,ptolemies is still at its height2 that the republic of ,rome is mistress of the world2 that all ,europe north of the ,alps is inhabited solely by barbarians2 that ,cleopatra and ,julius ,caesar are yet unborn2 that the ,christian era has not yet begun8 ,truly1 it seems as if there could be no new thing under the sun4 ,x4 ,,science ,,of ,,the ,,roman ,,period ,we have seen that the third century ,b4,c4 was a time when ,alexandrian science was at its height1 but that the second century produced also in ,hipparchus at least one investigator of the very first rank2 though1 to be sure1 ,hipparchus can be called an ,alexandrian only by courtesy4 ,in the ensuing generations the ,greek capital at the mouth of the ,nile continued to hold its place as the centre of scientific and philosophical thought4 ,the kingdom of the ,ptolemies still flourished with at least the outward appearances of its old-time glory1 and a company of grammarians and commentators of no small merit could always be found in the service of the famous museum and library2 but the whole aspect of world-history was rapidly changing4 ,greece1 after her brief day of political supremacy1 was sinking rapidly into desuetude1 and the hard-headed ,roman in the ,west was making himself master everywhere4 ,while ,hipparchus of ,rhodes was in his prime1 ,corinth1 the last stronghold of the main-land of ,greece1 had fallen before the prowess of the ,roman1 and the kingdom of the ,ptolemies1 though still nominally free1 had begun to come within the sphere of ,roman influence4 ,just what share these political changes had in changing the aspect of ,greek thought is a question regarding which difference of opinion might easily prevail2 but there can be no question that1 for one reason or another1 the ,alexandrian school as a creative centre went into a rapid decline at about the time of the ,roman rise to world-power4 ,there are some distinguished names1 but1 as a general rule1 the spirit of the times is reminiscent rather than creative2 the workers tend to collate the researches of their predecessors rather than to make new and original researches for themselves4 ,eratosthenes1 the inventive world-measurer1 was succeeded by ,strabo1 the industrious collator of facts2 ,aristarchus and ,hipparchus1 the originators of new astronomical methods1 were succeeded by ,ptolemy1 the perfecter of their methods and the systematizer of their knowledge4 ,meanwhile1 in the ,west1 ,rome never became a true culture-centre4 ,the great genius of the ,roman was political2 the ,augustan ,age produced a few great historians and poets1 but not a single great philosopher or creative devotee of science4 ,cicero1 ,lucian1 ,seneca1 ,marcus ,aurelius1 give us at best a reflection of ,greek philosophy4 ,pliny1 the one world-famous name in the scientific annals of ,rome1 can lay claim to no higher credit than that of a marvellously industrious collector of facts--the compiler of an encyclopaedia which contains not one creative touch4 ,all in all1 then1 this epoch of ,roman domination is one that need detain the historian of science but a brief moment4 ,with the culmination of ,greek effort in the so-called ,hellenistic period we have seen ancient science at its climax4 ,the ,roman period is but a time of transition1 marking1 as it were1 a plateau on the slope between those earlier heights and the deep1 dark valleys of the ,middle ,ages4 ,yet we cannot quite disregard the efforts of such workers as those we have just named4 ,let us take a more specific glance at their accomplishments4 ,,strabo ,,the ,,geographer ,the earliest of these workers in point of time is ,strabo4 ,this most famous of ancient geographers was born in ,amasia1 ,pontus1 about #fc ,b4,c41 and lived to the year #bd ,a4,d41 living1 therefore1 in the age of ,caesar and ,augustus1 during which the final transformation in the political position of the kingdom of ,egypt was effected4 ,the name of ,strabo in a modified form has become popularized through a curious circumstance4 ,the geographer1 it appears1 was afflicted with a peculiar squint of the eyes1 hence the name strabismus1 which the modern oculist applies to that particular infirmity4 ,fortunately1 the great geographer has not been forced to depend upon hearsay evidence for recognition4 ,his comprehensive work on geography has been preserved in its entirety1 being one of the few expansive classical writings of which this is true4 ,the other writings of ,strabo1 however1 including certain histories of which reports have come down to us1 are entirely lost4 ,the geography is in many ways a remarkable book4 ,it is not1 however1 a work in which any important new principles are involved4 ,rather is it typical of its age in that it is an elaborate compilation and a critical review of the labors of ,strabo's predecessors4 ,doubtless it contains a vast deal of new information as to the details of geography--precise areas and distance1 questions of geographical locations as to latitude and zones1 and the like4 ,but however important these details may have been from a contemporary stand-point1 they1 of course1 can have nothing more than historical interest to posterity4 ,the value of the work from our present stand-point is chiefly due to the criticisms which ,strabo passes upon his forerunners1 and to the incidental historical and scientific references with which his work abounds4 ,being written in this closing period of ancient progress1 and summarizing1 as it does1 in full detail the geographical knowledge of the time1 it serves as an important guide-mark for the student of the progress of scientific thought4 ,we cannot do better than briefly to follow ,strabo in his estimates and criticisms of the work of his predecessors1 taking note thus of the point of view from which he himself looked out upon the world4 ,we shall thus gain a clear idea as to the state of scientific geography towards the close of the classical epoch4 ,if the scientific investigation of any subject be the proper avocation of the philosopher1 says ,strabo1 geography1 the science of which we propose to treat1 is certainly entitled to a high place2 and this is evident from many considerations4 ,they who first undertook to handle the matter were distinguished men4 ,homer1 ,anaximander the ,milesian1 and ,hecaeus 7his fellow-citizen according to ,eratosthenes71 ,democritus1 ,eudoxus1 ,dicaearchus1 and ,ephorus1 with many others1 and after these1 ,eratosthenes1 ,polybius1 and ,posidonius1 all of them philosophers4 ,nor is the great learning through which alone this subject can be approached possessed by any but a person acquainted with both human and divine things1 and these attainments constitute what is called philosophy4 ,in addition to its vast importance in regard to social life and the art of government1 geography unfolds to us a celestial phenomena1 acquaints us with the occupants of the land and ocean1 and the vegetation1 fruits1 and peculiarities of the various quarters of the earth1 a knowledge of which marks him who cultivates it as a man earnest in the great problem of life and happiness4 ,strabo goes on to say that in common with other critics1 including ,hipparchus1 he regards ,homer as the first great geographer4 ,he has much to say on the geographical knowledge of the bard1 but this need not detain us4 ,we are chiefly concerned with his comment upon his more recent predecessors1 beginning with ,eratosthenes4 ,the constant reference to this worker shows the important position which he held4 ,strabo appears neither as detractor nor as partisan1 but as one who earnestly desires the truth4 ,sometimes he seems captious in his criticisms regarding some detail1 nor is he always correct in his emendations of the labors of others2 but1 on the whole1 his work is marked by an evident attempt at fairness4 ,in reading his book1 however1 one is forced to the conclusion that ,strabo is an investigator of details1 not an original thinker4 ,he seems more concerned with precise measurements than with questionings as to the open problems of his science4 ,whatever he accepts1 then1 may be taken as virtually the stock doctrine of the period4 ,as the size of the earth1 he says1 has been demonstrated by other writers1 we shall here take for granted and receive as accurate what they have advanced4 ,we shall also assume that the earth is spheroidal1 that its surface is likewise spheroidal and1 above all1 that bodies have a tendency towards its centre1 which latter point is clear to the perception of the most average understanding4 ,however1 we may show summarily that the earth is spheroidal1 from the consideration that all things1 however distant1 tend to its centre1 and that every body is attracted towards its centre by gravity4 ,this is more distinctly proved from observations of the sea and sky1 for here the evidence of the senses and common observation is alone requisite4 ,the convexity of the sea is a further proof of this to those who have sailed1 for they cannot perceive lights at a distance when placed at the same level as their eyes1 and if raised on high they at once become perceptible to vision though at the same time farther removed4 ,so when the eye is raised it sees what before was utterly imperceptible4 ,homer speaks of this when he says3 ',lifted up on the vast wave he quickly beheld afar4' ,sailors as they approach their destination behold the shore continually raising itself to their view1 and objects which had at first seemed low begin to lift themselves4 ,our gnomons1 also1 are1 among other things1 evidence of the revolution of the heavenly bodies1 and common-sense at once shows us that if the depth of the earth were infinite such a revolution could not take place47#a7 ,elsewhere ,strabo criticises ,eratosthenes for having entered into a long discussion as to the form of the earth4 ,this matter1 ,strabo thinks1 should have been disposed of in the compass of a few words4 ,obviously this doctrine of the globe's sphericity had1 in the course of #fjj years1 become so firmly established among the ,greek thinkers as to seem almost axiomatic4 ,we shall see later on how the ,western world made a curious recession from this seemingly secure position under stimulus of an ,oriental misconception4 ,as to the size of the globe1 ,strabo is disposed to accept without particular comment the measurements of ,eratosthenes4 ,he speaks1 however1 of more recent measurements1 referring in particular to that adopted by ,posidonius1 according to which the circumference is only about one hundred and eighty thousand stadia4 ,posidonius1 we may note in passing1 was a contemporary and friend of ,cicero1 and hence lived shortly before the time of ,strabo4 ,his measurement of the earth was based on observations of a star which barely rose above the southern horizon at ,rhodes as compared with the height of the same star when observed at ,alexandria4 ,this measurement of ,posidonius1 together with the even more famous measurement of ,eratosthenes1 appears to have been practically the sole guide as to the size of the earth throughout the later periods of antiquity1 and1 indeed1 until the later ,middle ,ages4 ,as becomes a writer who is primarily geographer and historian rather than astronomer1 ,strabo shows a much keener interest in the habitable portions of the globe than in the globe as a whole4 ,he assures us that this habitable portion of the earth is a great island1 since wherever men have approached the termination of the land1 the sea1 which we designate ocean1 has been met with1 and reason assures us of the similarity of this place which our senses have not been tempted to survey4 ,he points out that whereas sailors have not circumnavigated the globe1 that they had not been prevented from doing so by any continent1 and it seems to him altogether unlikely that the ,atlantic ,ocean is divided into two seas by narrow isthmuses so placed as to prevent circumnavigation4 ,how much more probable that it is confluent and uninterrupted4 ,this theory1 he adds1 goes better with the ebb and flow of the ocean4 ,moreover 7and here his reasoning becomes more fanciful71 the greater the amount of moisture surrounding the earth1 the easier would the heavenly bodies be supplied with vapor from thence4 ,yet he is disposed to believe1 following ,plato1 that the tradition concerning the island of ,atlantos might be received as something more than idle fiction1 it having been related by ,solon1 on the authority of the ,egyptian priests1 that this island1 almost as large as a continent1 was formerly in existence although now it had disappeared47#b7 ,in a word1 then1 ,strabo entertains no doubt whatever that it would be possible to sail around the globe from ,spain to ,india4 ,indeed1 so matter-of-fact an inference was this that the feat of ,columbus would have seemed less surprising in the first century of our era than it did when actually performed in the fifteenth century4 ,the terrors of the great ocean held the mariner back1 rather than any doubt as to where he would arrive at the end of the voyage4 ,coupled with the idea that the habitable portion of the earth is an island1 there was linked a tolerably definite notion as to the shape of this island4 ,this shape ,strabo likens to a military cloak4 ,the comparison does not seem peculiarly apt when we are told presently that the length of the habitable earth is more than twice its breadth4 ,this idea1 ,strabo assures us1 accords with the most accurate observations both ancient and modern4 ,these observations seemed to show that it is not possible to live in the region close to the equator1 and that1 on the other hand1 the cold temperature sharply limits the habitability of the globe towards the north4 ,all the civilization of antiquity clustered about the ,mediterranean1 or extended off towards the east at about the same latitude4 ,hence geographers came to think of the habitable globe as having the somewhat lenticular shape which a crude map of these regions suggests4 ,we have already had occasion to see that at an earlier day ,anaxagoras was perhaps influenced in his conception of the shape of the earth by this idea1 and the constant references of ,strabo impress upon us the thought that this long1 relatively narrow area of the earth's surface is the only one which can be conceived of as habitable4 ,strabo had much to tell us concerning zones1 which1 following ,posidonius1 he believes to have been first described by ,parmenides4 ,we may note1 however1 that other traditions assert that both ,thales and ,pythagoras had divided the earth into zones4 ,the number of zones accepted by ,strabo is five1 and he criticises ,polybius for making the number six4 ,the five zones accepted by ,strabo are as follows3 the uninhabitable torrid zone lying in the region of the equator2 a zone on either side of this extending to the tropic2 and then the temperate zones extending in either direction from the tropic to the arctic regions4 ,there seems to have been a good deal of dispute among the scholars of the time as to the exact arrangement of these zones1 but the general idea that the north-temperate zone is the part of the earth with which the geographer deals seemed clearly established4 ,that the south-temperate zone would also present a habitable area is an idea that is sometimes suggested1 though seldom or never distinctly expressed4 ,it is probable that different opinions were held as to this1 and no direct evidence being available1 a cautiously scientific geographer like ,strabo would naturally avoid the expression of an opinion regarding it4 ,indeed1 his own words leave us somewhat in doubt as to the precise character of his notion regarding the zones4 ,perhaps we shall do best to quote them3 ,let the earth be supposed to consist of five zones4 7#a7 ,the equatorial circle described around it4 7#b7 ,another parallel to this1 and defining the frigid zone of the northern hemisphere4 7#c7 ,a circle passing through the poles and cutting the two preceding circles at right-angles4 ,the northern hemisphere contains two quarters of the earth1 which are bounded by the equator and circle passing through the poles4 ,each of these quarters should be supposed to contain a four-sided district1 its northern side being of one-half of the parallel next the pole1 its southern by the half of the equator1 and its remaining sides by two segments of the circle drawn through the poles1 opposite to each other1 and equal in length4 ,in one of these 7which of them is of no consequence7 the earth which we inhabit is situated1 surrounded by a sea and similar to an island4 ,this1 as we said before1 is evident both to our senses and to our reason4 ,but let any one doubt this1 it makes no difference so far as geography is concerned whether you believe the portion of the earth which we inhabit to be an island or only admit what we know from experience--namely1 that whether you start from the east or the west you may sail all around it4 ,certain intermediate spaces may have been left 7unexplored71 but these are as likely to be occupied by sea as uninhabited land4 ,the object of the geographer is to describe known countries4 ,those which are unknown he passes over equally with those beyond the limits of the inhabited earth4 ,it will1 therefore1 be sufficient for describing the contour of the island we have been speaking of1 if we join by a right line the outmost points which1 up to this time1 have been explored by voyagers along the coast on either side47#c7 ,we may pass over the specific criticisms of ,strabo upon various explorations that seem to have been of great interest to his contemporaries1 including an alleged trip of one ,eudoxus out into the ,atlantic1 and the journeyings of ,pytheas in the far north4 ,it is ,pytheas1 we may add1 who was cited by ,hipparchus as having made the mistaken observation that the length of the shadow of the gnomon is the same at ,marseilles and ,byzantium1 hence that these two places are on the same parallel4 ,modern commentators have defended ,pytheas as regards this observation1 claiming that it was ,hipparchus and not ,pytheas who made the second observation from which the faulty induction was drawn4 ,the point is of no great significance1 however1 except as showing that a correct method of determining the problems of latitude had thus early been suggested4 ,that faulty observations and faulty application of the correct principle should have been made is not surprising4 ,neither need we concern ourselves with the details as to the geographical distances1 which ,strabo found so worthy of criticism and controversy4 ,but in leaving the great geographer we may emphasize his point of view and that of his contemporaries by quoting three fundamental principles which he reiterates as being among the facts established by natural philosophers4 ,he tells us that 7#a7 ,the earth and heavens are spheroidal4 7#b7 ,the tendency of all bodies having weight is towards a centre4 7#c7 ,further1 the earth being spheroidal and having the same centre as the heavens1 is motionless1 as well as the axis that passes through both it and the heavens4 ,the heavens turn round both the earth and its axis1 from east to west4 ,the fixed stars turn round with it at the same rate as the whole4 ,these fixed stars follow in their course parallel circles1 the principal of which are the equator1 two tropics1 and the arctic circles2 while the planets1 the sun1 and the moon describe certain circles comprehended within the zodiac47#d7 ,here1 then1 is a curious mingling of truth and error4 ,the ,pythagorean doctrine that the earth is round had become a commonplace1 but it would appear that the theory of ,aristarchus1 according to which the earth is in motion1 has been almost absolutely forgotten4 ,strabo does not so much as refer to it2 neither1 as we shall see1 is it treated with greater respect by the other writers of the period4 ,,two ,,famous ,,expositors--,,pliny ,,and ,,ptolemy ,while ,strabo was pursuing his geographical studies at ,alexandria1 a young man came to ,rome who was destined to make his name more widely known in scientific annals than that of any other ,latin writer of antiquity4 ,this man was ,plinius ,secundus1 who1 to distinguish him from his nephew1 a famous writer in another field1 is usually spoken of as ,pliny the ,elder4 ,there is a famous story to the effect that the great ,roman historian ,livy on one occasion addressed a casual associate in the amphitheatre at ,rome1 and on learning that the stranger hailed from the outlying ,spanish province of the empire1 remarked to him1 ,yet you have doubtless heard of my writings even there4 ,then1 replied the stranger1 you must be either ,livy or ,pliny4 ,the anecdote illustrates the wide fame which the ,roman naturalist achieved in his own day4 ,and the records of the ,middle ,ages show that this popularity did not abate in succeeding times4 ,indeed1 the ,natural ,history of ,pliny is one of the comparatively few bulky writings of antiquity that the efforts of copyists have preserved to us almost entire4 ,it is1 indeed1 a remarkable work and eminently typical of its time2 but its author was an industrious compiler1 not a creative genius4 ,as a monument of industry it has seldom been equalled1 and in this regard it seems the more remarkable inasmuch as ,pliny was a practical man of affairs who occupied most of his life as a soldier fighting the battles of the empire4 ,he compiled his book in the leisure hours stolen from sleep1 often writing by the light of the camp-fire4 ,yet he cites or quotes from about four thousand works1 most of which are known to us only by his references4 ,doubtless ,pliny added much through his own observations4 ,we know how keen was his desire to investigate1 since he lost his life through attempting to approach the crater of ,vesuvius on the occasion of that memorable eruption which buried the cities of ,herculaneum and ,pompeii4 ,doubtless the wandering life of the soldier had given ,pliny abundant opportunity for personal observation in his favorite fields of botany and zoology4 ,but the records of his own observations are so intermingled with knowledge drawn from books that it is difficult to distinguish the one from the other4 ,nor does this greatly matter1 for whether as closet-student or field-naturalist1 ,pliny's trait of mind is essentially that of the compiler4 ,he was no philosophical thinker1 no generalizer1 no path-maker in science4 ,he lived at the close of a great progressive epoch of thought2 in one of those static periods when numberless observers piled up an immense mass of details which might advantageously be sorted into a kind of encyclopaedia4 ,such an encyclopaedia is the so-called ,natural ,history of ,pliny4 ,it is a vast jumble of more or less uncritical statements regarding almost every field of contemporary knowledge4 ,the descriptions of animals and plants predominate1 but the work as a whole would have been immensely improved had the compiler shown a more critical spirit4 ,as it is1 he seems rather disposed to quote any interesting citation that he comes across in his omnivorous readings1 shielding himself behind an equivocal it is said1 or so and so alleges4 ,a single illustration will suffice to show what manner of thing is thought worthy of repetition4 ,it is asserted1 he says1 that if the fish called a sea-star is smeared with the fox's blood and then nailed to the upper lintel of the door1 or to the door itself1 with a copper nail1 no noxious spell will be able to obtain admittance1 or1 at all events1 be productive of any ill effects4 ,it is easily comprehensible that a work fortified with such practical details as this should have gained wide popularity4 ,doubtless the natural histories of our own day would find readier sale were they to pander to various superstitions not altogether different from that here suggested4 ,the man1 for example1 who believes that to have a black cat cross his path is a lucky omen would naturally find himself attracted by a book which took account of this and similar important details of natural history4 ,perhaps1 therefore1 it was its inclusion of absurdities1 quite as much as its legitimate value1 that gave vogue to the celebrated work of ,pliny4 ,but be that as it may1 the most famous scientist of ,rome must be remembered as a popular writer rather than as an experimental worker4 ,in the history of the promulgation of scientific knowledge his work is important2 in the history of scientific principles it may virtually be disregarded4 ,,ptolemy1 ,,the ,,last ,,great ,,astronomer ,,of ,,antiquity ,almost the same thing may be said of ,ptolemy1 an even more celebrated writer1 who was born not very long after the death of ,pliny4 ,the exact dates of ,ptolemy's life are not known1 but his recorded observations extend to the year #aea ,a4,d4 ,he was a working astronomer1 and he made at least one original discovery of some significance--namely1 the observation of a hitherto unrecorded irregularity of the moon's motion1 which came to be spoken of as the moon's evection4 ,this consists of periodical aberrations from the moon's regular motion in its orbit1 which1 as we now know1 are due to the gravitation pull of the sun1 but which remained unexplained until the time of ,newton4 ,ptolemy also made original observations as to the motions of the planets4 ,he is1 therefore1 entitled to a respectable place as an observing astronomer2 but his chief fame rests on his writings4 ,his great works have to do with geography and astronomy4 ,in the former field he makes an advance upon ,strabo1 citing the latitude of no fewer than five thousand places4 ,in the field of astronomy1 his great service was to have made known to the world the labors of ,hipparchus4 ,ptolemy has been accused of taking the star-chart of his great predecessor without due credit1 and indeed it seems difficult to clear him of this charge4 ,yet it is at least open to doubt whether he intended any impropriety1 inasmuch as he all along is sedulous in his references to his predecessor4 ,indeed1 his work might almost be called an exposition of the astronomical doctrines of ,hipparchus4 ,no one pretends that ,ptolemy is to be compared with the ,rhodesian observer as an original investigator1 but as a popular expounder his superiority is evidenced in the fact that the writings of ,ptolemy became practically the sole astronomical text-book of the ,middle ,ages both in the ,east and in the ,west1 while the writings of ,hipparchus were allowed to perish4 ,the most noted of all the writings of ,ptolemy is the work which became famous under the ,arabic name of ,almagest4 ,this word is curiously derived from the ,greek title 7gr h megisth suntazis71 the greatest construction1 a name given the book to distinguish it from a work on astrology in four books by the same author4 ,for convenience of reference it came to be spoken of merely as 7gr h megisth71 from which the ,arabs form the title ,tabair al ,magisthi1 under which title the book was published in the year #hbg4 ,from this it derived the word ,almagest1 by which ,ptolemy's work continued to be known among the ,arabs1 and subsequently among ,europeans when the book again became known in the ,west4 ,ptolemy's book1 as has been said1 is virtually an elaboration of the doctrines of ,hipparchus4 ,it assumes that the earth is the fixed centre of the solar system1 and that the stars and planets revolve about it in twenty-four hours1 the earth being1 of course1 spherical4 ,it was not to be expected that ,ptolemy should have adopted the heliocentric idea of ,aristarchus4 ,yet it is much to be regretted that he failed to do so1 since the deference which was accorded his authority throughout the ,middle ,ages would doubtless have been extended in some measure at least to this theory as well1 had he championed it4 ,contrariwise1 his unqualified acceptance of the geocentric doctrine sufficed to place that doctrine beyond the range of challenge4 ,the ,almagest treats of all manner of astronomical problems1 but the feature of it which gained it widest celebrity was perhaps that which has to do with eccentrics and epicycles4 ,this theory was1 of course1 but an elaboration of the ideas of ,hipparchus2 but1 owing to the celebrity of the expositor1 it has come to be spoken of as the theory of ,ptolemy4 ,we have sufficiently detailed the theory in speaking of ,hipparchus4 ,it should be explained1 however1 that1 with both ,hipparchus and ,ptolemy1 the theory of epicycles would appear to have been held rather as a working hypothesis than as a certainty1 so far as the actuality of the minor spheres or epicycles is concerned4 ,that is to say1 these astronomers probably did not conceive either the epicycles or the greater spheres as constituting actual solid substances4 ,subsequent generations1 however1 put this interpretation upon the theory1 conceiving the various spheres as actual crystalline bodies4 ,it is difficult to imagine just how the various epicycles were supposed to revolve without interfering with the major spheres1 but perhaps this is no greater difficulty than is presented by the alleged properties of the ether1 which physicists of to-day accept as at least a working hypothesis4 ,we shall see later on how firmly the conception of concentric crystalline spheres was held to1 and that no real challenge was ever given that theory until the discovery was made that comets have an orbit that must necessarily intersect the spheres of the various planets4 ,ptolemy's system of geography in eight books1 founded on that of ,marinus of ,tyre1 was scarcely less celebrated throughout the ,middle ,ages than the ,almagest4 ,it contained little1 however1 that need concern us here1 being rather an elaboration of the doctrines to which we have already sufficiently referred4 ,none of ,ptolemy's original manuscripts has come down to us1 but there is an alleged fifth-century manuscript attributed to ,agathadamon of ,alexandria which has peculiar interest because it contains a series of twenty-seven elaborately colored maps that are supposed to be derived from maps drawn up by ,ptolemy himself4 ,in these maps the sea is colored green1 the mountains red or dark yellow1 and the land white4 ,ptolemy assumed that a degree at the equator was #ejj stadia instead of #fjd stadia in length4 ,we are not informed as to the grounds on which this assumption was made1 but it has been suggested that the error was at least partially instrumental in leading to one very curious result4 ,taking the parallel of ,rhodes1 says ,donaldson17#e7 he calculated the longitudes from the ,fortunate ,islands to ,cattigara or the west coast of ,borneo at #ahj degrees1 conceiving this to be one-half the circumference of the globe4 ,the real distance is only #abe degrees or #abg degrees1 so that his measurement is wrong by one third of the whole1 one-sixth for the error in the measurement of a degree and one-sixth for the errors in measuring the distance geometrically4 ,these errors1 owing to the authority attributed to the geography of ,ptolemy in the ,middle ,ages1 produced a consequence of the greatest importance4 ,they really led to the discovery of ,america4 ,for the design of ,columbus to sail from the west of ,europe to the east of ,asia was founded on the supposition that the distance was less by one third than it really was4 ,this view is perhaps a trifle fanciful1 since there is nothing to suggest that the courage of ,columbus would have balked at the greater distance1 and since the protests of the sailors1 which nearly thwarted his efforts1 were made long before the distance as estimated by ,ptolemy had been covered2 nevertheless it is interesting to recall that the great geographical doctrines1 upon which ,columbus must chiefly have based his arguments1 had been before the world in an authoritative form practically unheeded for more than twelve hundred years1 awaiting a champion with courage enough to put them to the test4 ,,galen--,,the ,,last ,,great ,,alexandrian ,there is one other field of scientific investigation to which we must give brief attention before leaving the antique world4 ,this is the field of physiology and medicine4 ,in considering it we shall have to do with the very last great scientist of the ,alexandrian school4 ,this was ,claudius ,galenus1 commonly known as ,galen1 a man whose fame was destined to eclipse that of all other physicians of antiquity except ,hippocrates1 and whose doctrines were to have the same force in their field throughout the ,middle ,ages that the doctrines of ,aristotle had for physical science4 ,but before we take up ,galen's specific labors1 it will be well to inquire briefly as to the state of medical art and science in the ,roman world at the time when the last great physician of antiquity came upon the scene4 ,the ,romans1 it would appear1 had done little in the way of scientific discoveries in the field of medicine1 but1 nevertheless1 with their practicality of mind1 they had turned to better account many more of the scientific discoveries of the ,greeks than did the discoverers themselves4 ,the practising physicians in early ,rome were mostly men of ,greek origin1 who came to the capital after the overthrow of the ,greeks by the ,romans4 ,many of them were slaves1 as earning money by either bodily or mental labor was considered beneath the dignity of a ,roman citizen4 ,the wealthy ,romans1 who owned large estates and numerous slaves1 were in the habit of purchasing some of these slave doctors1 and thus saving medical fees by having them attend to the health of their families4 ,by the beginning of the ,christian era medicine as a profession had sadly degenerated1 and in place of a class of physicians who practised medicine along rational or legitimate lines1 in the footsteps of the great ,hippocrates1 there appeared great numbers of specialists1 most of them charlatans1 who pretended to possess supernatural insight in the methods of treating certain forms of disease4 ,these physicians rightly earned the contempt of the better class of ,romans1 and were made the object of many attacks by the satirists of the time4 ,such specialists travelled about from place to place in much the same manner as the itinerant ,indian doctors and lightning tooth-extractors do to-day4 ,eye-doctors seem to have been particularly numerous1 and these were divided into two classes1 eye-surgeons and eye-doctors proper4 ,the eye-surgeon performed such operations as cauterizing for ingrowing eyelashes and operating upon growths about the eyes2 while the eye-doctors depended entirely upon salves and lotions4 ,these eye-salves were frequently stamped with the seal of the physician who compounded them1 something like two hundred of these seals being still in existence4 ,there were besides these quacks1 however1 reputable eye-doctors who must have possessed considerable skill in the treatment of certain ophthalmias4 ,among some ,roman surgical instruments discovered at ,rheims were found also some drugs employed by ophthalmic surgeons1 and an analysis of these show that they contained1 among other ingredients1 some that are still employed in the treatment of certain affections of the eye4 ,one of the first steps taken in recognition of the services of physicians was by ,julius ,caesar1 who granted citizenship to all physicians practising in ,rome4 ,this was about fifty years before the ,christian era1 and from that time on there was a gradual improvement in the attitude of the ,romans towards the members of the medical profession4 ,as the ,romans degenerated from a race of sturdy warriors and became more and more depraved physically1 the necessity for physicians made itself more evident4 ,court physicians1 and physicians-in-ordinary1 were created by the emperors1 as were also city and district physicians4 ,in the year #acc ,a4,d4 ,hadrian granted immunity from taxes and military service to physicians in recognition of their public services4 ,the city and district physicians1 known as the archiatri populaires1 treated and cared for the poor without remuneration1 having a position and salary fixed by law and paid them semi-annually4 ,these were honorable positions1 and the archiatri were obliged to give instruction in medicine1 without pay1 to the poor students4 ,they were allowed to receive fees and donations from their patients1 but not1 however1 until the danger from the malady was past4 ,special laws were enacted to protect them1 and any person subjecting them to an insult was liable to a fine not exceeding one thousand pounds4 ,an example of ,roman practicality is shown in the method of treating hemorrhage1 as described by ,aulus ,cornelius ,celsus 7#ec ,b4,c4 to #g ,a4,d474 ,hippocrates and ,hippocratic writers treated hemorrhage by application of cold1 pressure1 styptics1 and sometimes by actual cauterizing2 but they knew nothing of the simple method of stopping a hemorrhage by a ligature tied around the bleeding vessel4 ,celsus not only recommended tying the end of the injured vessel1 but describes the method of applying two ligatures before the artery is divided by the surgeon--a common practice among surgeons at the present time4 ,the cut is made between these two1 and thus hemorrhage is avoided from either end of the divided vessel4 ,another ,roman surgeon1 ,heliodorus1 not only describes the use of the ligature in stopping hemorrhage1 but also the practice of torsion--twisting smaller vessels1 which causes their lining membrane to contract in a manner that produces coagulation and stops hemorrhage4 ,it is remarkable that so simple and practical a method as the use of the ligature in stopping hemorrhage could have gone out of use1 once it had been discovered2 but during the ,middle ,ages it was almost entirely lost sight of1 and was not reintroduced until the time of ,ambroise ,pare1 in the sixteenth century4 ,even at a very early period the ,romans recognized the advantage of surgical methods on the field of battle4 ,each soldier was supplied with bandages1 and was probably instructed in applying them1 something in the same manner as is done now in all modern armies4 ,the ,romans also made use of military hospitals and had established a rude but very practical field-ambulance service4 ,in every troop or bandon of two or four hundred men1 eight or ten stout fellows were deputed to ride immediately behind the fighting-line to pick up and rescue the wounded1 for which purpose their saddles had two stirrups on the left side1 while they themselves were provided with water-flasks1 and perhaps applied temporary bandages4 ,they were encouraged by a reward of a piece of gold for each man they rescued4 ',noscomi' were male nurses attached to the military hospitals1 but not inscribed 'on strength' of the legions1 and were probably for the most part of the servile class47#f7 ,from the time of the early ,alexandrians1 ,herophilus and ,erasistratus1 whose work we have already examined1 there had been various anatomists of some importance in the ,alexandrian school1 though none quite equal to these earlier workers4 ,the best-known names are those of ,celsus 7of whom we have already spoken71 who continued the work of anatomical investigation1 and ,marinus1 who lived during the reign of ,nero1 and ,rufus of ,ephesus4 ,probably all of these would have been better remembered by succeeding generations had their efforts not been eclipsed by those of ,galen4 ,this greatest of ancient anatomists was born at ,pergamus of ,greek parents4 ,his father1 ,nicon1 was an architect and a man of considerable ability4 ,until his fifteenth year the youthful ,galen was instructed at home1 chiefly by his father2 but after that time he was placed under suitable teachers for instruction in the philosophical systems in vogue at that period4 ,shortly after this1 however1 the superstitious ,nicon1 following the interpretations of a dream1 decided that his son should take up the study of medicine1 and placed him under the instruction of several learned physicians4 ,galen was a tireless worker1 making long tours into ,asia ,minor and ,palestine to improve himself in pharmacology1 and studying anatomy for some time at ,alexandria4 ,he appears to have been full of the superstitions of the age1 however1 and early in his career made an extended tour into western ,asia in search of the chimerical jet-stone--a stone possessing the peculiar qualities of burning with a bituminous odor and supposed to possess great potency in curing such diseases as epilepsy1 hysteria1 and gout4 ,by the time he had reached his twenty-eighth year he had perfected his education in medicine and returned to his home in ,pergamus4 ,even at that time he had acquired considerable fame as a surgeon1 and his fellow-citizens showed their confidence in his ability by choosing him as surgeon to the wounded gladiators shortly after his return to his native city4 ,in these duties his knowledge of anatomy aided him greatly1 and he is said to have healed certain kinds of wounds that had previously baffled the surgeons4 ,in the time of ,galen dissections of the human body were forbidden by law1 and he was obliged to confine himself to dissections of the lower animals4 ,he had the advantage1 however1 of the anatomical works of ,herophilus and ,erasistratus1 and he must have depended upon them in perfecting his comparison between the anatomy of men and the lower animals4 ,it is possible that he did make human dissections surreptitiously1 but of this we have no proof4 ,he was familiar with the complicated structure of the bones of the cranium4 ,he described the vertebrae clearly1 divided them into groups1 and named them after the manner of anatomists of to-day4 ,he was less accurate in his description of the muscles1 although a large number of these were described by him4 ,like all anatomists before the time of ,harvey1 he had a very erroneous conception of the circulation1 although he understood that the heart was an organ for the propulsion of blood1 and he showed that the arteries of the living animals did not contain air alone1 as was taught by many anatomists4 ,he knew1 also1 that the heart was made up of layers of fibres that ran in certain fixed directions--that is1 longitudinal1 transverse1 and oblique2 but he did not recognize the heart as a muscular organ4 ,in proof of this he pointed out that all muscles require rest1 and as the heart did not rest it could not be composed of muscular tissue4 ,many of his physiological experiments were conducted upon scientific principles4 ,thus he proved that certain muscles were under the control of definite sets of nerves by cutting these nerves in living animals1 and observing that the muscles supplied by them were rendered useless4 ,he pointed out also that nerves have no power in themselves1 but merely conduct impulses to and from the brain and spinal-cord4 ,he turned this peculiar knowledge to account in the case of a celebrated sophist1 ,pausanias1 who had been under the treatment of various physicians for a numbness in the fourth and fifth fingers of his left hand4 ,these physicians had been treating this condition by applications of poultices to the hand itself4 ,galen1 being called in consultation1 pointed out that the injury was probably not in the hand itself1 but in the ulner nerve1 which controls sensation in the fourth and fifth fingers4 ,surmising that the nerve must have been injured in some way1 he made careful inquiries of the patient1 who recalled that he had been thrown from his chariot some time before1 striking and injuring his back4 ,acting upon this information1 ,galen applied stimulating remedies to the source of the nerve itself--that is1 to the bundle of nerve-trunks known as the brachial plexus1 in the shoulder4 ,to the surprise and confusion of his fellow-physicians1 this method of treatment proved effective and the patient recovered completely in a short time4 ,although the functions of the organs in the chest were not well understood by ,galen1 he was well acquainted with their anatomy4 ,he knew that the lungs were covered by thin membrane1 and that the heart was surrounded by a sac of very similar tissue4 ,he made constant comparisons also between these organs in different animals1 as his dissections were performed upon beasts ranging in size from a mouse to an elephant4 ,the minuteness of his observations is shown by the fact that he had noted and described the ring of bone found in the hearts of certain animals1 such as the horse1 although not found in the human heart or in most animals4 ,his description of the abdominal organs was in general accurate4 ,he had noted that the abdominal cavity was lined with a peculiar saclike membrane1 the peritoneum1 which also surrounded most of the organs contained in the cavity1 and he made special note that this membrane also enveloped the liver in a peculiar manner4 ,the exactness of the last observation seems the more wonderful when we reflect that even to-day the medical1 student finds a correct understanding of the position of the folds of the peritoneum one of the most difficult subjects in anatomy4 ,as a practical physician he was held in the highest esteem by the ,romans4 ,the ,emperor ,marcus ,aurelius called him to ,rome and appointed him physician-inordinary to his son ,commodus1 and on special occasions ,marcus ,aurelius himself called in ,galen as his medical adviser4 ,on one occasion1 the three army surgeons in attendance upon the emperor declared that he was about to be attacked by a fever4 ,galen relates how on special command ,i felt his pulse1 and finding it quite normal1 considering his age and the time of day1 ,i declared it was no fever but a digestive disorder1 due to the food he had eaten1 which must be converted into phlegm before being excreted4 ,then the emperor repeated three times1 ',that's the very thing1' and asked what was to be done4 ,i answered that ,i usually gave a glass of wine with pepper sprinkled on it1 but for you kings we only use the safest remedies1 and it will suffice to apply wool soaked in hot nard ointment locally4 ,the emperor ordered the wool1 wine1 etc41 to be brought1 and ,i left the room4 ,his feet were warmed by rubbing with hot hands1 and after drinking the peppered wine1 he said to ,pitholaus 7his son's tutor71 ',we have only one doctor1 and that an honest one1' and went on to describe me as the first of physicians and the only philosopher1 for he had tried many before who were not only lovers of money1 but also contentious1 ambitious1 envious1 and malignant47#g7 ,it will be seen from this that ,galen had a full appreciation of his own abilities as a physician1 but inasmuch as succeeding generations for a thousand years concurred in the alleged statement made by ,marcus ,aurelius as to his ability1 he is perhaps excusable for his open avowal of his belief in his powers4 ,his faith in his accuracy in diagnosis and prognosis was shown when a colleague once said to him1 ,i have used the prognostics of ,hippocrates as well as you4 ,why can ,i not prognosticate as well as you8 ,to this ,galen replied1 ,by ,god's help ,i have never been deceived in my prognosis47#h7 ,it is probable that this statement was made in the heat of argument1 and it is hardly to be supposed that he meant it literally4 ,his systems of treatment were far in advance of his theories regarding the functions of organs1 causes of disease1 etc41 and some of them are still first principles with physicians4 ,like ,hippocrates1 he laid great stress on correct diet1 exercise1 and reliance upon nature4 ,nature is the overseer by whom health is supplied to the sick1 he says4 ,nature lends her aid on all sides1 she decides and cures diseases4 ,no one can be saved unless nature conquers the disease1 and no one dies unless nature succumbs4 ,from the picture thus drawn of ,galen as an anatomist and physician1 one might infer that he should rank very high as a scientific exponent of medicine1 even in comparison with modern physicians4 ,there is1 however1 another side to the picture4 ,his knowledge of anatomy was certainly very considerable1 but many of his deductions and theories as to the functions of organs1 the cause of diseases1 and his methods of treating them1 would be recognized as absurd by a modern school-boy of average intelligence4 ,his greatness must be judged in comparison with ancient1 not with modern1 scientists4 ,he maintained1 for example1 that respiration and the pulse-beat were for one and the same purpose--that of the reception of air into the arteries of the body4 ,to him the act of breathing was for the purpose of admitting air into the lungs1 whence it found its way into the heart1 and from there was distributed throughout the body by means of the arteries4 ,the skin also played an important part in supplying the body with air1 the pores absorbing the air and distributing it through the arteries4 ,but1 as we know that he was aware of the fact that the arteries also contained blood1 he must have believed that these vessels contained a mixture of the two4 ,modern anatomists know that the heart is divided into two approximately equal parts by an impermeable septum of tough fibres4 ,yet1 ,galen1 who dissected the hearts of a vast number of the lower animals according to his own account1 maintained that this septum was permeable1 and that the air1 entering one side of the heart from the lungs1 passed through it into the opposite side and was then transferred to the arteries4 ,he was equally at fault1 although perhaps more excusably so1 in his explanation of the action of the nerves4 ,he had rightly pointed out that nerves were merely connections between the brain and spinal-cord and distant muscles and organs1 and had recognized that there were two kinds of nerves1 but his explanation of the action of these nerves was that nervous spirits were carried to the cavities of the brain by blood-vessels1 and from there transmitted through the body along the nerve-trunks4 ,in the human skull1 overlying the nasal cavity1 there are two thin plates of bone perforated with numerous small apertures4 ,these apertures allow the passage of numerous nerve-filaments which extend from a group of cells in the brain to the delicate membranes in the nasal cavity4 ,these perforations in the bone1 therefore1 are simply to allow the passage of the nerves4 ,but ,galen gave a very different explanation4 ,he believed that impure animal spirits were carried to the cavities of the brain by the arteries in the neck and from there were sifted out through these perforated bones1 and so expelled from the body4 ,he had observed that the skin played an important part in cooling the body1 but he seems to have believed that the heart was equally active in overheating it4 ,the skin1 therefore1 absorbed air for the purpose of cooling the heart1 and this cooling process was aided by the brain1 whose secretions aided also in the cooling process4 ,the heart itself was the seat of courage2 the brain the seat of the rational soul2 and the liver the seat of love4 ,the greatness of ,galen's teachings lay in his knowledge of anatomy of the organs2 his weakness was in his interpretations of their functions4 ,unfortunately1 succeeding generations of physicians for something like a thousand years rejected the former but clung to the latter1 so that the advances he had made were completely overshadowed by the mistakes of his teachings4 ,,xi4 ,a ,,retrospective ,,glance ,,at ,,classical ,,science ,it is a favorite tenet of the modern historian that history is a continuous stream4 ,the contention has fullest warrant4 ,sharp lines of demarcation are an evidence of man's analytical propensity rather than the work of nature4 ,nevertheless it would be absurd to deny that the stream of history presents an ever-varying current4 ,there are times when it seems to rush rapidly on2 times when it spreads out into a broad--seemingly static--current2 times when its catastrophic changes remind us of nothing but a gigantic cataract4 ,rapids and whirlpools1 broad estuaries and tumultuous cataracts are indeed part of the same stream1 but they are parts that vary one from another in their salient features in such a way as to force the mind to classify them as things apart and give them individual names4 ,so it is with the stream of history2 however strongly we insist on its continuity we are none the less forced to recognize its periodicity4 ,it may not be desirable to fix on specific dates as turning-points to the extent that our predecessors were wont to do4 ,we may not1 for example1 be disposed to admit that the ,roman ,empire came to any such cataclysmic finish as the year #dgf ,a4,d41 when cited in connection with the overthrow of the last ,roman ,empire of the ,west1 might seem to indicate4 ,but1 on the other hand1 no student of the period can fail to realize that a great change came over the aspect of the historical stream towards the close of the ,roman epoch4 ,the span from ,thales to ,galen has compassed about eight hundred years--let us say thirty generations4 ,throughout this period there is scarcely a generation that has not produced great scientific thinkers--men who have put their mark upon the progress of civilization2 but we shall see1 as we look forward for a corresponding period1 that the ensuing thirty generations produced scarcely a single scientific thinker of the first rank4 ,eight hundred years of intellectual activity--thirty generations of greatness2 then eight hundred years of stasis--thirty generations of mediocrity2 such seems to be the record as viewed in perspective4 ,doubtless it seemed far different to the contemporary observer2 it is only in reasonable perspective that any scene can be viewed fairly4 ,but for us1 looking back without prejudice across the stage of years1 it seems indisputable that a great epoch came to a close at about the time when the barbarian nations of ,europe began to sweep down into ,greece and ,italy4 ,we are forced to feel that we have reached the limits of progress of what historians are pleased to call the ancient world4 ,for about eight hundred years ,greek thought has been dominant1 but in the ensuing period it is to play a quite subordinate part1 except in so far as it influences the thought of an alien race4 ,as we leave this classical epoch1 then1 we may well recapitulate in brief its triumphs4 ,a few words will suffice to summarize a story the details of which have made up our recent chapters4 ,in the field of cosmology1 ,greek genius has demonstrated that the earth is spheroidal1 that the moon is earthlike in structure and much smaller than our globe1 and that the sun is vastly larger and many times more distant than the moon4 ,the actual size of the earth and the angle of its axis with the ecliptic have been measured with approximate accuracy4 ,it has been shown that the sun and moon present inequalities of motion which may be theoretically explained by supposing that the earth is not situated precisely at the centre of their orbits4 ,a system of eccentrics and epicycles has been elaborated which serves to explain the apparent motions of the heavenly bodies in a manner that may be called scientific even though it is based1 as we now know1 upon a false hypothesis4 ,the true hypothesis1 which places the sun at the centre of the planetary system and postulates the orbital and axial motions of our earth in explanation of the motions of the heavenly bodies1 has been put forward and ardently championed1 but1 unfortunately1 is not accepted by the dominant thinkers at the close of our epoch4 ,in this regard1 therefore1 a vast revolutionary work remains for the thinkers of a later period4 ,moreover1 such observations as the precession of the equinoxes and the moon's evection are as yet unexplained1 and measurements of the earth's size1 and of the sun's size and distance1 are so crude and imperfect as to be in one case only an approximation1 and in the other an absurdly inadequate suggestion4 ,but with all these defects1 the total achievement of the ,greek astronomers is stupendous4 ,to have clearly grasped the idea that the earth is round is in itself an achievement that marks off the classical from the ,oriental period as by a great gulf4 ,in the physical sciences we have seen at least the beginnings of great things4 ,dynamics and hydrostatics may now1 for the first time1 claim a place among the sciences4 ,geometry has been perfected and trigonometry has made a sure beginning4 ,the conception that there are four elementary substances1 earth1 water1 air1 and fire1 may not appear a secure foundation for chemistry1 yet it marks at least an attempt in the right direction4 ,similarly1 the conception that all matter is made up of indivisible particles and that these have adjusted themselves and are perhaps held in place by a whirling motion1 while it is scarcely more than a scientific dream1 is1 after all1 a dream of marvellous insight4 ,in the field of biological science progress has not been so marked1 yet the elaborate garnering of facts regarding anatomy1 physiology1 and the zoological sciences is at least a valuable preparation for the generalizations of a later time4 ,if with a map before us we glance at the portion of the globe which was known to the workers of the period now in question1 bearing in mind at the same time what we have learned as to the seat of labors of the various great scientific thinkers from ,thales to ,galen1 we cannot fail to be struck with a rather startling fact1 intimations of which have been given from time to time--the fact1 namely1 that most of the great ,greek thinkers did not live in ,greece itself4 ,as our eye falls upon ,asia ,minor and its outlying islands1 we reflect that here were born such men as ,thales1 ,anaximander1 ,anaximenes1 ,heraclitus1 ,pythagoras1 ,anaxagoras1 ,socrates1 ,aristarchus1 ,hipparchus1 ,eudoxus1 ,philolaus1 and ,galen4 ,from the northern shores of the aegean came ,lucippus1 ,democritus1 and ,aristotle4 ,italy1 off to the west1 is the home of ,pythagoras and ,xenophanes in their later years1 and of ,parmenides and ,empedocles1 ,zeno1 and ,archimedes4 ,northern ,africa can claim1 by birth or by adoption1 such names as ,euclid1 ,apollonius of ,perga1 ,herophilus1 ,erasistratus1 ,aristippus1 ,eratosthenes1 ,ctesibius1 ,hero1 ,strabo1 and ,ptolemy4 ,this is but running over the list of great men whose discoveries have claimed our attention4 ,were we to extend the list to include a host of workers of the second rank1 we should but emphasize the same fact4 ,all along we are speaking of ,greeks1 or1 as they call themselves1 ,hellenes1 and we mean by these words the people whose home was a small jagged peninsula jutting into the ,mediterranean at the southeastern extremity of ,europe4 ,we think of this peninsula as the home of ,greek culture1 yet of all the great thinkers we have just named1 not one was born on this peninsula1 and perhaps not one in five ever set foot upon it4 ,in point of fact1 one ,greek thinker of the very first rank1 and one only1 was born in ,greece proper2 that one1 however1 was ,plato1 perhaps the greatest of them all4 ,with this one brilliant exception 7and even he was born of parents who came from the provinces71 all the great thinkers of ,greece had their origin at the circumference rather than the centre of the empire4 ,and if we reflect that this circumference of the ,greek world was in the nature of the case the widely circling region in which the ,greek came in contact with other nations1 we shall see at once that there could be no more striking illustration in all history than that furnished us here of the value of racial mingling as a stimulus to intellectual progress4 ,but there is one other feature of the matter that must not be overlooked4 ,racial mingling gives vitality1 but to produce the best effect the mingling must be that of races all of which are at a relatively high plane of civilization4 ,in ,asia ,minor the ,greek mingled with the ,semite1 who had the heritage of centuries of culture2 and in ,italy with the ,umbrians1 ,oscans1 and ,etruscans1 who1 little as we know of their antecedents1 have left us monuments to testify to their high development4 ,the chief reason why the racial mingling of a later day did not avail at once to give new life to ,roman thought was that the races which swept down from the north were barbarians4 ,it was no more possible that they should spring to the heights of classical culture than it would1 for example1 be possible in two or three generations to produce a racer from a stock of draught horses4 ,evolution does not proceed by such vaults as this would imply4 ,celt1 ,goth1 ,hun1 and ,slav must undergo progressive development for many generations before the population of northern ,europe can catch step with the classical ,greek and prepare to march forward4 ,that1 perhaps1 is one reason why we come to a period of stasis or retrogression when the time of classical activity is over4 ,but1 at best1 it is only one reason of several4 ,the influence of the barbarian nations will claim further attention as we proceed4 ,but now1 for the moment1 we must turn our eyes in the other direction and give attention to certain phases of ,greek and of ,oriental thought which were destined to play a most important part in the development of the ,western mind--a more important part1 indeed1 in the early mediaeval period than that played by those important inductions of science which have chiefly claimed our attention in recent chapters4 ,the subject in question is the old familiar one of false inductions or pseudoscience4 ,in dealing with the early development of thought and with ,oriental science1 we had occasion to emphasize the fact that such false inductions led everywhere to the prevalence of superstition4 ,in dealing with ,greek science1 we have largely ignored this subject1 confining attention chiefly to the progressive phases of thought2 but it must not be inferred from this that ,greek science1 with all its secure inductions1 was entirely free from superstition4 ,on the contrary1 the most casual acquaintance with ,greek literature would suffice to show the incorrectness of such a supposition4 ,true1 the great thinkers of ,greece were probably freer from this thraldom of false inductions than any of their predecessors4 ,even at a very early day such men as ,xenophanes1 ,empedocles1 ,anaxagoras1 and ,plato attained to a singularly rationalistic conception of the universe4 ,we saw that the father of medicine1 ,hippocrates1 banished demonology and conceived disease as due to natural causes4 ,at a slightly later day the sophists challenged all knowledge1 and ,pyrrhonism became a synonym for scepticism in recognition of the leadership of a master doubter4 ,the entire school of ,alexandrians must have been relatively free from superstition1 else they could not have reasoned with such effective logicality from their observations of nature4 ,it is almost inconceivable that men like ,euclid and ,archimedes1 and ,aristarchus and ,eratosthenes1 and ,hipparchus and ,hero1 could have been the victims of such illusions regarding occult forces of nature as were constantly postulated by ,oriental science4 ,herophilus and ,erasistratus and ,galen would hardly have pursued their anatomical studies with equanimity had they believed that ghostly apparitions watched over living and dead alike1 and exercised at will a malign influence4 ,doubtless the ,egyptian of the period considered the work1 of the ,ptolemaic anatomists an unspeakable profanation1 and1 indeed1 it was nothing less than revolutionary--so revolutionary that it could not be sustained in subsequent generations4 ,we have seen that the great ,galen1 at ,rome1 five centuries after the time of ,herophilus1 was prohibited from dissecting the human subject4 ,the fact speaks volumes for the attitude of the ,roman mind towards science4 ,vast audiences made up of every stratum of society thronged the amphitheatre1 and watched exultingly while man slew his fellow-man in single or in multiple combat4 ,shouts of frenzied joy burst from a hundred thousand throats when the death-stroke was given to a new victim4 ,the bodies of the slain1 by scores1 even by hundreds1 were dragged ruthlessly from the arena and hurled into a ditch as contemptuously as if pity were yet unborn and human life the merest bauble4 ,yet the same eyes that witnessed these scenes with ecstatic approval would have been averted in pious horror had an anatomist dared to approach one of the mutilated bodies with the scalpel of science4 ,it was sport to see the blade of the gladiator enter the quivering1 living flesh of his fellow-gladiator2 it was joy to see the warm blood spurt forth from the writhing victim while he still lived2 but it were sacrilegious to approach that body with the knife of the anatomist1 once it had ceased to pulsate with life4 ,life itself was held utterly in contempt1 but about the realm of death hovered the threatening ghosts of superstition4 ,and such1 be it understood1 was the attitude of the ,roman populace in the early and the most brilliant epoch of the empire1 before the ,western world came under the influence of that ,oriental philosophy which was presently to encompass it4 ,in this regard the ,alexandrian world was1 as just intimated1 far more advanced than the ,roman1 yet even there we must suppose that the leaders of thought were widely at variance with the popular conceptions4 ,a few illustrations1 drawn from ,greek literature at various ages1 will suggest the popular attitude4 ,in the first instance1 consider the poems of ,homer and of ,hesiod4 ,for these writers1 and doubtless for the vast majority of their readers1 not merely of their own but of many subsequent generations1 the world is peopled with a multitude of invisible apparitions1 which1 under title of gods1 are held to dominate the affairs of man4 ,it is sometimes difficult to discriminate as to where the ,greek imagination drew the line between fact and allegory2 nor need we attempt to analyse the early poetic narratives to this end4 ,it will better serve our present purpose to cite three or four instances which illustrate the tangibility of beliefs based upon pseudo-scientific inductions4 ,let us cite1 for example1 the account which ,herodotus gives us of the actions of the ,greeks at ,plataea1 when their army confronted the remnant of the army of ,xerxes1 in the year #dgi ,b4,c4 ,here we see each side hesitating to attack the other1 merely because the oracle had declared that whichever side struck the first blow would lose the conflict4 ,even after the ,persian soldiers1 who seemingly were a jot less superstitious or a shade more impatient than their opponents1 had begun the attack1 we are told that the ,greeks dared not respond at first1 though they were falling before the javelins of the enemy1 because1 forsooth1 the entrails of a fowl did not present an auspicious appearance4 ,and these were ,greeks of the same generation with ,empedocles and ,anaxagoras and aeschylus2 of the same epoch with ,pericles and ,sophocles and ,euripides and ,phidias4 ,such was the scientific status of the average mind--nay1 of the best minds--with here and there a rare exception1 in the golden age of ,grecian culture4 ,were we to follow down the pages of ,greek history1 we should but repeat the same story over and over4 ,we should1 for example1 see ,alexander the ,great balked at the banks of the ,hyphasis1 and forced to turn back because of inauspicious auguries based as before upon the dissection of a fowl4 ,alexander himself1 to be sure1 would have scorned the augury2 had he been the prey of such petty superstitions he would never have conquered ,asia4 ,we know how he compelled the oracle at ,delphi to yield to his wishes2 how he cut the ,gordian knot2 how he made his dominating personality felt at the temple of ,ammon in ,egypt4 ,we know1 in a word1 that he yielded to superstitions only in so far as they served his purpose4 ,left to his own devices1 he would not have consulted an oracle at the banks of the ,hyphasis2 or1 consulting1 would have forced from the oracle a favorable answer4 ,but his subordinates were mutinous and he had no choice4 ,suffice it for our present purpose that the oracle was consulted1 and that its answer turned the conqueror back4 ,one or two instances from ,roman history may complete the picture4 ,passing over all those mythical narratives which virtually constitute the early history of ,rome1 as preserved to us by such historians as ,livy and ,dionysius1 we find so logical an historian as ,tacitus recording a miraculous achievement of ,vespasian without adverse comment4 ,during the months when ,vespasian was waiting at ,alexandria for the periodical season of the summer winds1 and a safe navigation1 many miracles occurred by which the favor of ,heaven and a sort of bias in the powers above towards ,vespasian were manifested4 ,tacitus then describes in detail the cure of various maladies by the emperor1 and relates that the emperor on visiting a temple was met there1 in the spirit1 by a prominent ,egyptian who was proved to be at the same time some eighty miles distant from ,alexandria4 ,it must be admitted that ,tacitus1 in relating that ,vespasian caused the blind to see and the lame to walk1 qualifies his narrative by asserting that persons who are present attest the truth of the transaction when there is nothing to be gained by falsehood4 ,nor must we overlook the fact that a similar belief in the power of royalty has persisted almost to our own day4 ,but no such savor of scepticism attaches to a narrative which ,dion ,cassius gives us of an incident in the life of ,marcus ,aurelius--an incident that has become famous as the episode of ,the ,thundering ,legion4 ,xiphilinus has preserved the account of ,dion1 adding certain picturesque interpretations of his own4 ,the original narrative1 as cited1 asserts that during one of the northern campaigns of ,marcus ,aurelius1 the emperor and his army were surrounded by the hostile ,quadi1 who had every advantage of position and who presently ceased hostilities in the hope that heat and thirst would deliver their adversaries into their hands without the trouble of further fighting4 ,now1 says ,dion1 while the ,romans1 unable either to combat or to retreat1 and reduced to the last extremity by wounds1 fatigue1 heat1 and thirst1 were standing helplessly at their posts1 clouds suddenly gathered in great number and rain descended in floods--certainly not without divine intervention1 since the ,egyptian ,maege ,arnulphis1 who was with ,marcus ,antoninus1 is said to have invoked several genii by the aerial mercury by enchantment1 and thus through them had brought down rain4 ,here1 it will be observed1 a supernatural explanation is given of a natural phenomenon4 ,but the narrator does not stop with this4 ,if we are to accept the account of ,xiphilinus1 ,dion brings forward some striking proofs of divine interference4 ,xiphilinus gives these proofs in the following remarkable paragraph3 ,dion adds that when the rain began to fall every soldier lifted his head towards heaven to receive the water in his mouth2 but afterwards others hold out their shields or their helmets to catch the water for themselves and for their horses4 ,being set upon by the barbarians444 while occupied in drinking1 they would have been seriously incommoded had not heavy hail and numerous thunderbolts thrown consternation into the ranks of the enemy4 ,fire and water were seen to mingle as they left the heavens4 ,the fire1 however1 did not reach the ,romans1 but if it did by chance touch one of them it was immediately extinguished1 while at the same time the rain1 instead of comforting the barbarians1 seemed merely to excite like oil the fire with which they were being consumed4 ,some barbarians inflicted wounds upon themselves as though their blood had power to extinguish flames1 while many rushed over to the side of the ,romans1 hoping that there water might save them4 ,we cannot better complete these illustrations of pagan credulity than by adding the comment of ,xiphilinus himself4 ,that writer was a ,christian1 living some generations later than ,dion4 ,he never thought of questioning the facts1 but he felt that ,dion's interpretation of these facts must not go unchallenged4 ,as he interprets the matter1 it was no pagan magician that wrought the miracle4 ,he even inclines to the belief that ,dion himself was aware that ,christian interference1 and not that of an ,egyptian1 saved the day4 ,dion knew1 he declares1 that there existed a legion called ,the ,thundering ,legion1 which name was given it for no other reason than for what came to pass in this war1 and that this legion was composed of soldiers from ,militene who were all professed ,christians4 ,during the battle1 continues ,xiphilinus1 the chief of the ,pretonians1 had set at ,marcus ,antoninus1 who was in great perplexity at the turn events were taking1 representing to him that there was nothing the people called ,christians could not obtain by their prayers1 and that among his forces was a troop composed wholly of followers of that religion4 ,rejoiced at this news1 ,marcus ,antoninus demanded of these soldiers that they should pray to their god1 who granted their petition on the instant1 sent lightning among the enemy and consoled the ,romans with rain4 ,struck by this wonderful success1 the emperor honored the ,christians in an edict and named their legion ,the ,thundering4 ,it is even asserted that a letter existed by ,marcus ,antoninus on this subject4 ,the pagans well knew that the company was called ,the ,thunderers1 having attested the fact themselves1 but they revealed nothing of the occasion on which the leader received the name47#a7 ,peculiar interest attaches to this narrative as illustrating both credulousness as to matters of fact and pseudo-scientific explanation of alleged facts4 ,the modern interpreter may suppose that a violent thunderstorm came up during the course of a battle between the ,romans and the so-called barbarians1 and that owing to the local character of the storm1 or a chance discharge of lightning1 the barbarians suffered more than their opponents4 ,we may well question whether the philosophical emperor himself put any other interpretation than this upon the incident4 ,but1 on the other hand1 we need not doubt that the major part of his soldiers would very readily accept such an explanation as that given by ,dion ,cassius1 just as most readers of a few centuries later would accept the explanation of ,xiphilinus4 ,it is well to bear this thought in mind in considering the static period of science upon which we are entering4 ,we shall perhaps best understand this period1 and its seeming retrogressions1 if we suppose that the average man of the ,middle ,ages was no more credulous1 no more superstitious1 than the average ,roman of an earlier period or than the average ,greek2 though the precise complexion of his credulity had changed under the influence of ,oriental ideas1 as we have just seen illustrated by the narrative of ,xiphilinus4 ,,appendix ,,reference ,,list1 ,,notes1 ,,and ,,bibliographies ,,chapter ,i4 ,,prehistoric ,,science ,length of the ,prehistoric ,period4--,it is of course quite impossible to reduce the prehistoric period to any definite number of years4 ,there are1 however1 numerous bits of evidence that enable an anthropologist to make rough estimates as to the relative lengths of the different periods into which prehistoric time is divided4 ,gabriel de ,mortillet1 one of the most industrious students of prehistoric archaeology1 ventured to give a tentative estimate as to the numbers of years involved in each period4 ,he of course claimed for this nothing more than the value of a scientific guess4 ,it is1 however1 a guess based on a very careful study of all data at present available4 ,mortillet divides the prehistoric period1 as a whole1 into four epochs4 ,the first of these is the preglacial1 which he estimates as comprising seventy-eight thousand years2 the second is the glacial1 covering one hundred thousand years2 then follows what he terms the ,solutreen1 which numbers eleven thousand years2 and1 finally1 the ,magdalenien1 comprising thirty-three thousand years4 ,this gives1 for the prehistoric period proper1 a term of about two hundred and twenty-two thousand years4 ,add to this perhaps twelve thousand years ushering in the civilization of ,egypt1 and the six thousand years of stable1 sure chronology of the historical period1 and we have something like two hundred and thirty thousand or two hundred and forty thousand years as the age of man4 ,these figures1 says ,mortillet1 are certainly not exaggerated4 ,it is even probable that they are below the truth4 ,constantly new discoveries are being made that tend to remove farther back the date of man's appearance4 ,we see1 then1 according to this estimate1 that about a quarter of a million years have elapsed since man evolved to a state that could properly be called human4 ,this guess is as good as another1 and it may advantageously be kept in mind1 as it will enable us all along to understand better than we might otherwise be able to do the tremendous force of certain prejudices and preconceptions which recent man inherited from his prehistoric ancestor4 ,ideas which had passed current as unquestioned truths for one hundred thousand years or so are not easily cast aside4 ,in going back1 in imagination1 to the beginning of the prehistoric period1 we must of course reflect1 in accordance with modern ideas on the subject1 that there was no year1 no millennium even1 when it could be said expressly3 ,this being was hitherto a primate1 he is now a man4 ,the transition period must have been enormously long1 and the changes from generation to generation1 even from century to century1 must have been very slight4 ,in speaking of the extent of the age of man this must be borne in mind3 it must be recalled that1 even if the period were not vague for other reasons1 the vagueness of its beginning must make it indeterminate4 ,bibliographical ,notes4--,a great mass of literature has been produced in recent years dealing with various phases of the history of prehistoric man4 ,no single work known to the writer deals comprehensively with the scientific attainments of early man2 indeed1 the subject is usually ignored1 except where practical phases of the mechanical arts are in question4 ,but of course any attempt to consider the condition of primitive man talies into account1 by inference at least1 his knowledge and attainments4 ,therefore1 most works on anthropology1 ethnology1 and primitive culture may be expected to throw some light on our present subject4 ,works dealing with the social and mental conditions of existing savages are also of importance1 since it is now an accepted belief that the ancestors of civilized races evolved along similar lines and passed through corresponding stages of nascent culture4 ,herbert ,spencer's ,descriptive ,sociology presents an unequalled mass of facts regarding existing primitive races1 but1 unfortunately1 its inartistic method of arrangement makes it repellent to the general reader4 ,e4 ,b4 ,tyler's ,primitive ,culture and ,anthropology2 ,lord ,avebury's ,prehistoric ,times1 ,the ,origin of ,civilization1 and ,the ,primitive ,condition of ,man2 ,w4 ,boyd ,dawkin's ,cave-,hunting and ,early ,man in ,britain2 and ,edward ,clodd's ,childhood of the ,world and ,story of ,primitive ,man are deservedly popular4 ,paul ,topinard's ,elements d',anthropologie ,generale is one of the best-known and most comprehensive ,french works on the technical phases of anthropology2 but ,mortillet's ,le ,prehistorique has a more popular interest1 owing to its chapters on primitive industries1 though this work also contains much that is rather technical4 ,among periodicals1 the ,revue de l',ecole d',anthropologie de ,paris1 published by the professors1 treats of all phases of anthropology1 and the ,american ,anthropologist1 edited by ,f4 ,w4 ,hodge for the ,american ,anthropological ,association1 and intended as a medium of communication between students of all branches of anthropology1 contains much that is of interest from the present stand-point4 ,the last-named journal devotes a good deal of space to ,indian languages4 ,,chapter ,,ii4 ,,egyptian ,,science #a 7p4 #cd74 ,sir ,j4 ,norman ,lockyer1 ,the ,dawn of ,astronomy2 a study of the temple worship and mythology of the ancient ,egyptians1 ,london1 #ahid4 #b 7p4 #dc74 ,g4 ,maspero1 ,histoire ,ancie-nne des ,peuples de l',orient ,classique1 ,paris1 #ahie4 ,translated as 7#a7 ,the ,dawn of ,civilization1 7#b7 ,the ,struggle of the ,nations1 7#c7 ,the ,passing of the ,empires1 #c vols41 ,london and ,new ,york1 #ahid-aijj4 ,professor ,maspero is one of the most famous of living ,orientalists4 ,his most important special studies have to do with ,egyptology1 but his writings cover the entire field of ,oriental antiquity4 ,he is a notable stylist1 and his works are at once readable and authoritative4 #c 7p4 #dd74 ,adolf ,erman1 ,life in ,ancient ,egypt1 ,london1 #ahid1 p4 #ceb4 7,translated from the original ,german work entitled ,aegypten und aegyptisches ,leben in ,alterthum1 ,tilbigen1 #ahhg47 ,an altogether admirable work1 full of interest for the general reader1 though based on the most erudite studies4 #d 7p4 #dg74 ,erman1 op4 cit41 pp4 #cef1 #ceg4 #e 7p4 #dh74 ,erman1 op4 cit41 p4 #ceg4 ,the work on ,egyptian medicine here referred to is ,georg ,ebers' edition of an ,egyptian document discovered by the explorer whose name it bears4 ,it remains the most important source of our knowledge of ,egyptian medicine4 ,as mentioned in the text1 this document dates from the eighteenth dynasty--that is to say1 from about the fifteenth or sixteenth century1 ,b4,c41 a relatively late period of ,egyptian history4 #f 7p4 #di74 ,erman1 op4 cit41 p4 #ceg4 #g 7p4 #ej74 ,the ,history of ,herodotus1 pp4 #he-ij4 ,there are numerous translations of the famous work of the father of history1 one of the most recent and authoritative being that of ,g4 ,c4 ,macaulay1 ,m4,a41 in two volumes1 ,macmillan ,co41 ,london and ,new ,york1 #ahij4 #h 7p4 #ej74 ,the ,historical ,library of ,diodorus the ,sicilian1 ,london1 #agjj4 ,this most famous of ancient world histories is difficult to obtain in an ,english version4 ,the most recently published translation known to the writer is that of ,g4 ,booth1 ,london1 #ahad4 #i 7p4 #ea74 ,erman1 op4 cit41 p4 #ceg4 #aj 7p4 #eb74 ,the ,papyrus ,rhind is a sort of mathematical hand-book of the ancient ,egyptians2 it was made in the time of the ,hyksos ,kings 7about #bjjj ,b4,c471 but is a copy of an older book4 ,it is now preserved in the ,british ,museum4 ,the most accessible recent sources of information as to the social conditions of the ancient ,egyptians are the works of ,maspero and ,erman1 above mentioned2 and the various publications of ,w4 ,m4 ,flinders ,petrie1 ,the ,pyramids and ,temples of ,gizeh1 ,london1 #ahhc2 ,tanis ,i41 ,london1 #ahhe2 ,tanis ,h41 ,nebesheh1 and ,defe-nnel1 ,london1 #ahhg2 ,ten ,years' ,diggings1 ,london1 #ahib2 ,syria and ,egypt from the ,tel-el-,amar-na ,letters1 ,london1 #ahih1 etc4 ,the various works of ,professor ,petrie1 recording his explorations from year to year1 give the fullest available insight into ,egyptian archaeology4 ,,chapter ,,iii4 ,,science ,,of ,,babylonia ,,and ,,assyria #a 7p4 #eg74 ,the ,medes4 ,some difference of opinion exists among historians as to the exact ethnic relations of the conquerors2 the precise date of the fall of ,nineveh is also in doubt4 #b 7p4 #eg74 ,darius4 ,the familiar ,hebrew narrative ascribes the first ,persian conquest of ,babylon to ,darius1 but inscriptions of ,cyrus and of ,nabonidus1 the ,babylonian king1 make it certain that ,cyrus was the real conqueror4 ,these inscriptions are preserved on cylinders of baked clay1 of the type made familiar by the excavation of the past fifty years1 and they are invaluable historical documents4 #c 7p4 #eh74 ,berosus4 ,the fragments of ,berosus have been translated by ,l4 ,p4 ,cory1 and included in his ,ancient ,fragments of ,phenician1 ,chaldean1 ,egyptian1 and ,other ,writers1 ,london1 #ahbf1 second edition1 #ahcb4 #d 7p4 #eh74 ,chaldean learning4 ,recent writers reserve the name ,chaldean for the later period of ,babylonian history--the time when the ,greeks came in contact with the ,mesopotamians--in contradistinction to the earlier periods which are revealed to us by the archaeological records4 #e 7p4 #ei7 ,king ,sargon of ,agade4 ,the date given for this early king must not be accepted as absolute2 but it is probably approximately correct4 #f 7p4 #ei74 ,nippur4 ,see the account of the early expeditions as recorded by the director1 ,dr4 ,john ,p4 ,peters1 ,nippur1 or explorations and adventures1 etc41 ,new ,york and ,london1 #ahig4 #g 7p4 #fb74 ,fritz ,hommel1 ,geschichte ,babyloniens und ,assyriens1 ,berlin1 #ahhe4 #h 7p4 #fc74 ,r4 ,campbell ,thompson1 ,reports of the ,magicians and ,astrologers of ,nineveh and ,babylon1 ,london1 #aijj1 p4 xix4 #i 7p4 #fd74 ,george ,smith1 ,the ,assyrian ,canon1 p4 #ba4 #aj 7p4 #fd74 ,thompson1 op4 cit41 p4 xix4 #aa 7p4 #fe74 ,thompson1 op4 cit41 p4 #b4 #ab 7p4 #fg74 ,thompson1 op4 cit41 p4 xvi4 #ac 7p4 #fh74 ,sextus ,empiricus1 author of ,adversus ,mathematicos1 lived about #bjj ,a4,d4 #ad 7p4 #fh74 ,r4 ,campbell ,thompson1 op4 cit41 p4 xxiv4 #ae 7p4 #gb74 ,records of the ,past 7editor1 ,samuel ,birch71 ,vol4 ,,iii41 p4 #aci4 #af 7p4 #gb74 ,ibid41 ,vol4 ,v41 p4 #af4 #ag 7p4 #gb74 ,quoted in ,records of the ,past1 ,vol4 ,,iii41 p4 #adc1 from the ,translations of the ,society of ,biblical ,archeology1 vol4 ,,ii41 p4 #eh4 #ah 7p4 #gc74 ,records of the ,past1 vol4 ,l1 p4 #aca4 #ai 7p4 #gc74 ,ibid41 vol4 ,v41 p4 #aga4 #bj 7p4 #gd74 ,ibid41 vol4 ,v41 p4 #afi4 #ba 7p4 #gd74 ,joachim ,menant1 ,la ,bibliotheque du ,palais de ,ninive1 ,paris1 #ahhj4 #bb 7p4 #gf74 ,code of ,khamurabi4 ,this famous inscription is on a block of black diorite nearly eight feet in height4 ,it was discovered at ,susa by the ,french expedition under ,m4 de ,morgan1 in ,december1 #aijb4 ,we quote the translation given in ,the ,historians' ,history of the ,world1 edited by ,henry ,smith ,williams1 ,london and ,new ,york1 #aijd1 ,vol4 ,i1 p4 #eaj4 #bc 7p4 #gg74 ,the ,historical ,library of ,diodorus ,siculus1 p4 #eai4 #bd 7p4 #hb74 ,george ,s4 ,goodspeed1 ,ph4,d41 ,history of the ,babylonians and ,assyrians1 ,new ,york1 #aijb4 #be 7p4 #hb74 ,george ,rawlinson1 ,great ,oriental ,monarchies1 7second edition1 ,london1 #ahga71 ,vol4 ,,iii41 pp4 #ge ff4 ,of the books mentioned above1 that of ,hommel is particularly full in reference to culture development2 ,goodspeed's small volume gives an excellent condensed account2 the original documents as translated in the various volumes of ,records of the ,past are full of interest2 and ,menant's little book is altogether admirable4 ,the work of excavation is still going on in old ,babylonia1 and newly discovered texts add from time to time to our knowledge1 but ,a4 ,h4 ,layard's ,nineveh and its ,remains 7,london1 #ahdi7 still has importance as a record of the most important early discoveries4 ,the general histories of ,antiquity of ,duncker1 ,lenormant1 ,maspero1 and ,meyer give full treatment of ,babylonian and ,assyrian development4 ,special histories of ,babylonia and ,assyria1 in addition to these named above1 are ,tiele's ,babylonisch-,assyrische ,geschichte 7,zwei ,tiele1 ,gotha1 #ahhf-ahhh72 ,winckler's ,geschichte ,babyloniens und ,assyriens 7,berlin1 #ahhe-ahhh71 and ,rogers' ,history of ,babylonia and ,assyria1 ,new ,york and ,london1 #aijj1 the last of which1 however1 deals almost exclusively with political history4 ,certain phases of science1 particularly with reference to chronology and cosmology1 are treated by ,edward ,meyer 7,geschichte des ,alterthum1 ,vol4 ,i41 ,stuttgart1 #ahhd71 and by ,p4 ,jensen 7,die ,kosmologie der ,babylonier1 ,strassburg1 #ahij71 but no comprehensive specific treatment of the subject in its entirety has yet been attempted4 ,,chapter ,,iv4 ,,the ,,development ,,of ,,the ,,alphabet #a 7p4 #hg74 ,vicomte ,e4 de ,rouge1 ,memoire sur l',origine ,egyptienne de l',alphabet ,phinicien1 ,paris1 #ahgd4 #b 7p4 #hh74 ,see the various publications of ,mr4 ,arthur ,evans4 #c 7p4 #hj74 ,aztec and ,maya writing4 ,these pictographs are still in the main undecipherable1 and opinions differ as to the exact stage of development which they represent4 #d 7p4 #ij74 ,e4 ,a4 ,wallace ,budge's ,first ,steps in ,egyptian1 ,london1 #ahie1 is an excellent elementary work on the ,egyptian writing4 ,professor ,erman's ,egyptian ,grammar1 ,london1 #ahid1 is the work of perhaps the foremost living ,egyptologist4 #e 7,p4 #ic74 ,extant examples of ,babylonian and ,assyrian writing give opportunity to compare earlier and later systems1 so the fact of evolution from the pictorial to the phonetic system rests on something more than mere theory4 #f 7p4 #if74 ,friedrich ,delitzsch1 ,assyrischc ,lesestucke mit grammatischen ,tabellen und vollstdndigem ,glossar einfiihrung in die assyrische und babylonische ,keilschrift-litteratur bis hinauf zu ,hammurabi1 ,leipzig1 #aijj4 #g 7p4 #ig74 ,it does not appear that the ,babylonians thcmselves ever gave up the old system of writing1 so long as they retained political autonomy4 #h 7p4 #aja74 ,see ,isaac ,taylor's ,history of the ,alphabet2 an ,account of the origin and ,development of ,letters1 new edition1 #b vols41 ,london1 #ahii4 ,for facsimiles of the various scripts1 see ,henry ,smith ,williams' ,history of the ,art ,of ,writing1 #d vols1 ,new ,york and ,london1 #aijb-aijc4 ,,chapter ,v4 ,,the ,,beginnings ,,of ,,greek ,,science #a 7p4 ,,iii74 ,anaximander1 as recorded by ,plutarch1 vol4 ,,viii-4 ,see ,arthur ,fairbanks',first ,philosophers of ,greece3 an ,edition and ,translation of the ,remaining ,fragments of the ,pre-,socratic ,philosophers1 together with a ,translation of the more ,important ,accounts of their ,opinions ,contained in the ,early ,epitomcs of their ,works1 ,london1 #ahih4 ,this highly scholarly and extremely useful book contains the ,greek text as well as translations4 ,,chapter ,,vi4 ,,the ,,early ,,greek ,,philosophers ,,in ,,italy #a 7p4 #aag74 ,george ,henry ,lewes1 ,a ,biographical ,history of ,philosophy from its ,origin in ,greece down to the ,present ,day1 enlarged edition1 ,new ,york1 #ahhh1 p4 #ag4 #b 7p4 #aba74 ,diogenes ,laertius1 ,the ,lives and ,opinions of ,eminent ,philosophers1 ,c4 ,d4 ,yonge's translation1 ,london1 #ahec1 ,,viii41 p4 #aec4 #c 7p4 #aba74 ,alexander1 ,successions of ,philosophers4 #d 7p4 #abb74 ,all over its centre4 ,presumably this is intended to refer to the entire equatorial region4 #e 7p4 #abe74 ,laertius1 op4 cit41 pp4 #cdh-cea4 #f 7p4 #abh74 ,arthur ,fairbanks1 ,the ,first ,philosophers of ,greece ,london1 #ahih1 pp4 #fg-gag4 #g 7p4 #abi74 ,ibid41 p4 #hch4 #h 7p4 #acj74 ,ibid41 p4 #aji4 #i 7p4 #acj74 ,heinrich ,ritter1 ,the ,history of ,ancient ,philosophy1 translated from the ,german by ,a4 ,j4 ,w4 ,morrison1 #d vols41 ,london1 #ahch1 vol1 ,i41 p4 #dfc4 #aj 7p4 #aca74 ,ibid41 p4 #dfe4 #aa 7p4 #acb74 ,george ,henry ,lewes1 op4 cit41 p4 #ha4 #ab 7p4 #ace74 ,fairbanks1 op4 cit41 p4 #bja4 #ac 7p4 #acf74 ,ibid41 ,p4 #bcd4 #ad 7p4 #acg74 ,ibid41 p4 #ahi4 #ae 7p4 #acg74 ,ibid41 ,p4 #bbj4 #af 7p4 #ach74 ,ibid41 p4 #ahi4 #ag 7p4 #ach74 ,ibid41 p4 #aia4 ,,chapter ,,vii4 ,,greek ,,science ,,in ,,the ,,early ,,attic ,,period #a 7p4 #aej74 ,theodor ,gomperz1 ,greek ,thinkers3 a ,history of ,ancient ,philosophy 7translated from the ,german by ,laurie ,magnes71 ,new ,york1 #aij #a1 pp4 #bbj1 #bba4 #b 7p4 #aec74 ,aristotle's ,treatise on ,respiration1 ch4 ii4 #c 7p4 #aei74 ,fairbanks' translation of the fragments of ,anaxagoras1 in ,the ,first ,philosophers of ,greece1 pp4 #bci-bdc4 ,,chapter ,,viii4 ,,post-,,socratic ,,science ,,at ,,athens #a 7p4 #ahj74 ,alfred ,william ,bern1 ,the ,philosophy of ,greece ,considered in ,relation to the ,character and ,history of its ,people1 ,london1 #ahih1 p4 #ahf4 #b 7p4 #ahc74 ,aristotle1 quoted in ,william ,whewell's ,history of the ,inductive ,sciences 7second edition1 ,london1 #ahdg71 ,vol4 ,,ii41 p4 #afa4 ,,chapter ,,ix4 ,,greek ,,science ,,of ,,the ,,alexandrian ,,or ,,hellenistic ,,period #a 7p4 #aie74 ,tertullian's ,apologeticus4 #b 7p4 #bje74 ,we quote the quaint old translation of ,north1 printed in #afeg4 ,,chapter ,x4 ,,science ,,of ,,the ,,roman ,,period #a 7p4 #beh74 ,the ,geography of ,strabo1 translated by ,h4 ,c4 ,hamilton and ,w4 ,falconer1 #c vols41 ,london1 #aheg1 ,vol4 ,i1 pp4 #ai1 #bj4 #b 7p4 #bfj74 ,ibid41 p4 #aed4 #c 7p4 #bfc74 ,ibid41 pp4 #afi1 #agj4 #d 7p4 #bfd7 ,ibid41 pp4 #aff1 #afg4 #e 7p4 #bga74 ,k4 #j4 ,miller and ,john ,w4 ,donaldson1 ,the ,history of the ,literature of ,greece1 #c vols41 ,london1 ,vol4 ,,iii41 p4 #bfh4 #f 7p4 #bgf74 ,e4 ,t4 ,withington1 ,medical ,history fron41 the ,earliest ,times1 ,london1 #ahid1 p4 #aah4 #g 7p4 #bha74 ,ibid4 #h 7p4 #bha74 ,johann ,hermann ,bass1 ,history of ,medicine1 ,new ,york1 #ahhi4 ,,chapter ,,xi4 ,a ,,retrospective ,,glance ,,at ,,classical ,,science 7p4 #bih74 ,dion ,cassius1 as preserved by ,xiphilinus4 ,our extract is quoted from the translation given in ,the ,historians' ,history of the ,world 7edited by ,henry ,smith ,williams71 #be vols41 ,london and ,new ,york1 #aijd1 ,vol4 ,,vi41 p4 #big ff4 7,for further bibliographical notes1 the reader is referred to the ,appendix of volume ,v47